λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,371,352

40,371,352

23 × 7 × 192 × 1997
Abundant Even Composite

40,371,352 factors as 2^3 × 7 × 19^2 × 1997. Its 48 positive divisors give a proper-divisor sum of 50,977,208, so this integer is abundant. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 19^2 × 1997
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 91,348,560
Proper Divisor Sum 50,977,208
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #40371349 ← → #40371377

Radix Representation

Decimal 40371352
Binary 10011010000000010010011000 (26 bits)
Octal 0o232002230
Hexadecimal 0x2680498

Divisor Catalog (48)

1 2 4 7 8 14 19 28 38 56 76 133 152 266 361 532 722 1,064 1,444 1,997 2,527 2,888 3,994 5,054 7,988 10,108 13,979 15,976 20,216 27,958 37,943 55,916 75,886 111,832 151,772 265,601 303,544 531,202 720,917 1,062,404 1,441,834 2,124,808 2,883,668 5,046,419 5,767,336 10,092,838 20,185,676 40,371,352

Collatz Trajectory (209 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

40,371,352 20,185,676 10,092,838 5,046,419 15,139,258 7,569,629 22,708,888 11,354,444 5,677,222 2,838,611 8,515,834 4,257,917 12,773,752 6,386,876 3,193,438 1,596,719 4,790,158 2,395,079 7,185,238 3,592,619 10,777,858 5,388,929 16,166,788 8,083,394 4,041,697 12,125,092 6,062,546 3,031,273 9,093,820 4,546,910 2,273,455 6,820,366 3,410,183 10,230,550 5,115,275 15,345,826 7,672,913 23,018,740 11,509,370 5,754,685 17,264,056 8,632,028 4,316,014 2,158,007 6,474,022 3,237,011 9,711,034 4,855,517 14,566,552 7,283,276 3,641,638 1,820,819 5,462,458 2,731,229 8,193,688 4,096,844 2,048,422 1,024,211 3,072,634 1,536,317

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #40,371,351 Browse Full Index Next Integer #40,371,353 →