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Atlas › Integer Profiles › Node 36,925,614

36,925,614

2 × 32 × 11 × 251 × 743
Abundant Even Composite

36,925,614 factors as 2 × 3^2 × 11 × 251 × 743. Its 48 positive divisors give a proper-divisor sum of 50,818,770, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 251 × 743
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 87,744,384
Proper Divisor Sum 50,818,770
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #36925601 ← → #36925657

Radix Representation

Decimal 36925614
Binary 10001100110111000010101110 (26 bits)
Octal 0o214670256
Hexadecimal 0x23370AE

Divisor Catalog (48)

1 2 3 6 9 11 18 22 33 66 99 198 251 502 743 753 1,486 1,506 2,229 2,259 2,761 4,458 4,518 5,522 6,687 8,173 8,283 13,374 16,346 16,566 24,519 24,849 49,038 49,698 73,557 147,114 186,493 372,986 559,479 1,118,958 1,678,437 2,051,423 3,356,874 4,102,846 6,154,269 12,308,538 18,462,807 36,925,614

Collatz Trajectory (103 steps to reach 1)

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

36,925,614 18,462,807 55,388,422 27,694,211 83,082,634 41,541,317 124,623,952 62,311,976 31,155,988 15,577,994 7,788,997 23,366,992 11,683,496 5,841,748 2,920,874 1,460,437 4,381,312 2,190,656 1,095,328 547,664 273,832 136,916 68,458 34,229 102,688 51,344 25,672 12,836 6,418 3,209 9,628 4,814 2,407 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085

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