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Atlas › Integer Profiles › Node 36,912,321

36,912,321

33 × 17 × 137 × 587
Deficient Odd Composite

36,912,321 factors as 3^3 × 17 × 137 × 587. Its 32 positive divisors give a proper-divisor sum of 21,511,359, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 3^3 × 17 × 137 × 587
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 58,423,680
Proper Divisor Sum 21,511,359
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #36912319 ← → #36912349

Radix Representation

Decimal 36912321
Binary 10001100110011110011000001 (26 bits)
Octal 0o214636301
Hexadecimal 0x2333CC1

Divisor Catalog (32)

1 3 9 17 27 51 137 153 411 459 587 1,233 1,761 2,329 3,699 5,283 6,987 9,979 15,849 20,961 29,937 62,883 80,419 89,811 241,257 269,433 723,771 1,367,123 2,171,313 4,101,369 12,304,107 36,912,321

Collatz Trajectory (121 steps to reach 1)

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

36,912,321 110,736,964 55,368,482 27,684,241 83,052,724 41,526,362 20,763,181 62,289,544 31,144,772 15,572,386 7,786,193 23,358,580 11,679,290 5,839,645 17,518,936 8,759,468 4,379,734 2,189,867 6,569,602 3,284,801 9,854,404 4,927,202 2,463,601 7,390,804 3,695,402 1,847,701 5,543,104 2,771,552 1,385,776 692,888 346,444 173,222 86,611 259,834 129,917 389,752 194,876 97,438 48,719 146,158 73,079 219,238 109,619 328,858 164,429 493,288 246,644 123,322 61,661 184,984 92,492 46,246 23,123 69,370 34,685 104,056 52,028 26,014 13,007 39,022

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