36,977,128

2³ × 73 × 63317

36,977,128 factors as 2^3 × 73 × 63317. Its 16 positive divisors give a proper-divisor sum of 33,305,852, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^3 × 73 × 63317

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 70,282,980

Proper Divisor Sum 33,305,852

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #36977107 ← → #36977147

Radix Representation

Decimal	36977128
Binary	10001101000011100111101000 (26 bits)
Octal	0o215034750
Hexadecimal	0x23439E8

Divisor Catalog (16)

1 2 4 8 73 146 292 584 63,317 126,634 253,268 506,536 4,622,141 9,244,282 18,488,564 36,977,128

Collatz Trajectory (165 steps to reach 1)

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

36,977,128 18,488,564 9,244,282 4,622,141 13,866,424 6,933,212 3,466,606 1,733,303 5,199,910 2,599,955 7,799,866 3,899,933 11,699,800 5,849,900 2,924,950 1,462,475 4,387,426 2,193,713 6,581,140 3,290,570 1,645,285 4,935,856 2,467,928 1,233,964 616,982 308,491 925,474 462,737 1,388,212 694,106 347,053 1,041,160 520,580 260,290 130,145 390,436 195,218 97,609 292,828 146,414 73,207 219,622 109,811 329,434 164,717 494,152 247,076 123,538 61,769 185,308 92,654 46,327 138,982 69,491 208,474 104,237 312,712 156,356 78,178 39,089

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