36,972,052

2² × 13 × 711001

36,972,052 factors as 2^2 × 13 × 711001. Its 12 positive divisors give a proper-divisor sum of 32,706,144, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 711001

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 69,678,196

Proper Divisor Sum 32,706,144

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #36972029 ← → #36972083

Radix Representation

Decimal	36972052
Binary	10001101000010011000010100 (26 bits)
Octal	0o215023024
Hexadecimal	0x2342614

Divisor Catalog (12)

1 2 4 13 26 52 711,001 1,422,002 2,844,004 9,243,013 18,486,026 36,972,052

Collatz Trajectory (165 steps to reach 1)

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

36,972,052 18,486,026 9,243,013 27,729,040 13,864,520 6,932,260 3,466,130 1,733,065 5,199,196 2,599,598 1,299,799 3,899,398 1,949,699 5,849,098 2,924,549 8,773,648 4,386,824 2,193,412 1,096,706 548,353 1,645,060 822,530 411,265 1,233,796 616,898 308,449 925,348 462,674 231,337 694,012 347,006 173,503 520,510 260,255 780,766 390,383 1,171,150 585,575 1,756,726 878,363 2,635,090 1,317,545 3,952,636 1,976,318 988,159 2,964,478 1,482,239 4,446,718 2,223,359 6,670,078 3,335,039 10,005,118 5,002,559 15,007,678 7,503,839 22,511,518 11,255,759 33,767,278 16,883,639 50,650,918

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