λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,255,992

4,255,992

23 × 32 × 13 × 4547
Abundant Even Composite

4,255,992 factors as 2^3 × 3^2 × 13 × 4547. Its 48 positive divisors give a proper-divisor sum of 8,160,048, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 13 × 4547
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,416,040
Proper Divisor Sum 8,160,048
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4255987 ← → #4255997

Radix Representation

Decimal 4255992
Binary 10000001111000011111000 (23 bits)
Octal 0o20170370
Hexadecimal 0x40F0F8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 4,547 9,094 13,641 18,188 27,282 36,376 40,923 54,564 59,111 81,846 109,128 118,222 163,692 177,333 236,444 327,384 354,666 472,888 531,999 709,332 1,063,998 1,418,664 2,127,996 4,255,992

Collatz Trajectory (105 steps to reach 1)

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

4,255,992 2,127,996 1,063,998 531,999 1,595,998 797,999 2,393,998 1,196,999 3,590,998 1,795,499 5,386,498 2,693,249 8,079,748 4,039,874 2,019,937 6,059,812 3,029,906 1,514,953 4,544,860 2,272,430 1,136,215 3,408,646 1,704,323 5,112,970 2,556,485 7,669,456 3,834,728 1,917,364 958,682 479,341 1,438,024 719,012 359,506 179,753 539,260 269,630 134,815 404,446 202,223 606,670 303,335 910,006 455,003 1,365,010 682,505 2,047,516 1,023,758 511,879 1,535,638 767,819 2,303,458 1,151,729 3,455,188 1,727,594 863,797 2,591,392 1,295,696 647,848 323,924 161,962

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,255,991 Browse Full Index Next Integer #4,255,993 →