λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,371,432

12,371,432

23 × 19 × 199 × 409
Deficient Even Composite

12,371,432 factors as 2^3 × 19 × 199 × 409. Its 32 positive divisors give a proper-divisor sum of 12,228,568, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 199 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,600,000
Proper Divisor Sum 12,228,568
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #12371423 ← → #12371441

Radix Representation

Decimal 12371432
Binary 101111001100010111101000 (24 bits)
Octal 0o57142750
Hexadecimal 0xBCC5E8

Divisor Catalog (32)

1 2 4 8 19 38 76 152 199 398 409 796 818 1,592 1,636 3,272 3,781 7,562 7,771 15,124 15,542 30,248 31,084 62,168 81,391 162,782 325,564 651,128 1,546,429 3,092,858 6,185,716 12,371,432

Collatz Trajectory (166 steps to reach 1)

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

12,371,432 6,185,716 3,092,858 1,546,429 4,639,288 2,319,644 1,159,822 579,911 1,739,734 869,867 2,609,602 1,304,801 3,914,404 1,957,202 978,601 2,935,804 1,467,902 733,951 2,201,854 1,100,927 3,302,782 1,651,391 4,954,174 2,477,087 7,431,262 3,715,631 11,146,894 5,573,447 16,720,342 8,360,171 25,080,514 12,540,257 37,620,772 18,810,386 9,405,193 28,215,580 14,107,790 7,053,895 21,161,686 10,580,843 31,742,530 15,871,265 47,613,796 23,806,898 11,903,449 35,710,348 17,855,174 8,927,587 26,782,762 13,391,381 40,174,144 20,087,072 10,043,536 5,021,768 2,510,884 1,255,442 627,721 1,883,164 941,582 470,791

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #12,371,431 Browse Full Index Next Integer #12,371,433 →