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Atlas › Integer Profiles › Node 3,857,904

3,857,904

24 × 32 × 73 × 367
Abundant Even Composite

3,857,904 factors as 2^4 × 3^2 × 73 × 367. Its 60 positive divisors give a proper-divisor sum of 7,116,592, so this integer is abundant. The Collatz stopping time is 71 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 73 × 367
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 10,974,496
Proper Divisor Sum 7,116,592
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3857891 ← → #3857911

Radix Representation

Decimal 3857904
Binary 1110101101110111110000 (22 bits)
Octal 0o16556760
Hexadecimal 0x3ADDF0

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 367 438 584 657 734 876 1,101 1,168 1,314 1,468 1,752 2,202 2,628 2,936 3,303 3,504 4,404 5,256 5,872 6,606 8,808 10,512 13,212 17,616 26,424 26,791 52,848 53,582 80,373 107,164 160,746 214,328 241,119 321,492 428,656 482,238 642,984 964,476 1,285,968 1,928,952 3,857,904

Collatz Trajectory (71 steps to reach 1)

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

3,857,904 1,928,952 964,476 482,238 241,119 723,358 361,679 1,085,038 542,519 1,627,558 813,779 2,441,338 1,220,669 3,662,008 1,831,004 915,502 457,751 1,373,254 686,627 2,059,882 1,029,941 3,089,824 1,544,912 772,456 386,228 193,114 96,557 289,672 144,836 72,418 36,209 108,628 54,314 27,157 81,472 40,736 20,368 10,184 5,092 2,546 1,273 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682

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