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Atlas › Integer Profiles › Node 33,713,892

33,713,892

22 × 32 × 29 × 43 × 751
Abundant Even Composite

33,713,892 factors as 2^2 × 3^2 × 29 × 43 × 751. Its 72 positive divisors give a proper-divisor sum of 56,616,348, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 29 × 43 × 751
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 90,330,240
Proper Divisor Sum 56,616,348
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #33713891 ← → #33713893

Radix Representation

Decimal 33713892
Binary 10000000100110111011100100 (26 bits)
Octal 0o200467344
Hexadecimal 0x2026EE4

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 18 29 36 43 58 86 87 116 129 172 174 258 261 348 387 516 522 751 774 1,044 1,247 1,502 1,548 2,253 2,494 3,004 3,741 4,506 4,988 6,759 7,482 9,012 11,223 13,518 14,964 21,779 22,446 27,036 32,293 43,558 44,892 64,586 65,337 87,116 96,879 129,172 130,674 193,758 196,011 261,348 290,637 387,516 392,022

Collatz Trajectory (157 steps to reach 1)

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

33,713,892 16,856,946 8,428,473 25,285,420 12,642,710 6,321,355 18,964,066 9,482,033 28,446,100 14,223,050 7,111,525 21,334,576 10,667,288 5,333,644 2,666,822 1,333,411 4,000,234 2,000,117 6,000,352 3,000,176 1,500,088 750,044 375,022 187,511 562,534 281,267 843,802 421,901 1,265,704 632,852 316,426 158,213 474,640 237,320 118,660 59,330 29,665 88,996 44,498 22,249 66,748 33,374 16,687 50,062 25,031 75,094 37,547 112,642 56,321 168,964 84,482 42,241 126,724 63,362 31,681 95,044 47,522 23,761 71,284 35,642

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