λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,127,520

12,127,520

25 × 5 × 75797
Abundant Even Composite

12,127,520 factors as 2^5 × 5 × 75797. Its 24 positive divisors give a proper-divisor sum of 16,524,124, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 75797
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 28,651,644
Proper Divisor Sum 16,524,124
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #12127519 ← → #12127553

Radix Representation

Decimal 12127520
Binary 101110010000110100100000 (24 bits)
Octal 0o56206440
Hexadecimal 0xB90D20

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 75,797 151,594 303,188 378,985 606,376 757,970 1,212,752 1,515,940 2,425,504 3,031,880 6,063,760 12,127,520

Collatz Trajectory (184 steps to reach 1)

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

12,127,520 6,063,760 3,031,880 1,515,940 757,970 378,985 1,136,956 568,478 284,239 852,718 426,359 1,279,078 639,539 1,918,618 959,309 2,877,928 1,438,964 719,482 359,741 1,079,224 539,612 269,806 134,903 404,710 202,355 607,066 303,533 910,600 455,300 227,650 113,825 341,476 170,738 85,369 256,108 128,054 64,027 192,082 96,041 288,124 144,062 72,031 216,094 108,047 324,142 162,071 486,214 243,107 729,322 364,661 1,093,984 546,992 273,496 136,748 68,374 34,187 102,562 51,281 153,844 76,922

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #12,127,519 Browse Full Index Next Integer #12,127,521 →