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Atlas › Integer Profiles › Node 2,321,904

2,321,904

24 × 3 × 13 × 612
Abundant Even Composite

2,321,904 factors as 2^4 × 3 × 13 × 61^2. Its 60 positive divisors give a proper-divisor sum of 4,245,384, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 61^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 6,567,288
Proper Divisor Sum 4,245,384
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2321899 ← → #2321909

Radix Representation

Decimal 2321904
Binary 1000110110110111110000 (22 bits)
Octal 0o10666760
Hexadecimal 0x236DF0

Divisor Catalog (60)

1 2 3 4 6 8 12 13 16 24 26 39 48 52 61 78 104 122 156 183 208 244 312 366 488 624 732 793 976 1,464 1,586 2,379 2,928 3,172 3,721 4,758 6,344 7,442 9,516 11,163 12,688 14,884 19,032 22,326 29,768 38,064 44,652 48,373 59,536 89,304 96,746 145,119 178,608 193,492 290,238 386,984 580,476 773,968 1,160,952 2,321,904

Collatz Trajectory (86 steps to reach 1)

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

2,321,904 1,160,952 580,476 290,238 145,119 435,358 217,679 653,038 326,519 979,558 489,779 1,469,338 734,669 2,204,008 1,102,004 551,002 275,501 826,504 413,252 206,626 103,313 309,940 154,970 77,485 232,456 116,228 58,114 29,057 87,172 43,586 21,793 65,380 32,690 16,345 49,036 24,518 12,259 36,778 18,389 55,168 27,584 13,792 6,896 3,448 1,724 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410

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