λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,145,872

8,145,872

24 × 7 × 257 × 283
Abundant Even Composite

8,145,872 factors as 2^4 × 7 × 257 × 283. Its 40 positive divisors give a proper-divisor sum of 10,025,584, so this integer is abundant. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 257 × 283
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 18,171,456
Proper Divisor Sum 10,025,584
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8145871 ← → #8145911

Radix Representation

Decimal 8145872
Binary 11111000100101111010000 (23 bits)
Octal 0o37045720
Hexadecimal 0x7C4BD0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 112 257 283 514 566 1,028 1,132 1,799 1,981 2,056 2,264 3,598 3,962 4,112 4,528 7,196 7,924 14,392 15,848 28,784 31,696 72,731 145,462 290,924 509,117 581,848 1,018,234 1,163,696 2,036,468 4,072,936 8,145,872

Collatz Trajectory (230 steps to reach 1)

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

8,145,872 4,072,936 2,036,468 1,018,234 509,117 1,527,352 763,676 381,838 190,919 572,758 286,379 859,138 429,569 1,288,708 644,354 322,177 966,532 483,266 241,633 724,900 362,450 181,225 543,676 271,838 135,919 407,758 203,879 611,638 305,819 917,458 458,729 1,376,188 688,094 344,047 1,032,142 516,071 1,548,214 774,107 2,322,322 1,161,161 3,483,484 1,741,742 870,871 2,612,614 1,306,307 3,918,922 1,959,461 5,878,384 2,939,192 1,469,596 734,798 367,399 1,102,198 551,099 1,653,298 826,649 2,479,948 1,239,974 619,987 1,859,962

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 #8,145,871 Browse Full Index Next Integer #8,145,873 →