36,967,648

2⁵ × 1155239

Prime Factor Structure

Factorization String 2^5 × 1155239

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 72,780,120

Proper Divisor Sum 35,812,472

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #36967643 ← → #36967649

Radix Representation

Decimal	36967648
Binary	10001101000001010011100000 (26 bits)
Octal	0o215012340
Hexadecimal	0x23414E0

Divisor Catalog (12)

1 2 4 8 16 32 1,155,239 2,310,478 4,620,956 9,241,912 18,483,824 36,967,648

Collatz Trajectory (227 steps to reach 1)

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

36,967,648 18,483,824 9,241,912 4,620,956 2,310,478 1,155,239 3,465,718 1,732,859 5,198,578 2,599,289 7,797,868 3,898,934 1,949,467 5,848,402 2,924,201 8,772,604 4,386,302 2,193,151 6,579,454 3,289,727 9,869,182 4,934,591 14,803,774 7,401,887 22,205,662 11,102,831 33,308,494 16,654,247 49,962,742 24,981,371 74,944,114 37,472,057 112,416,172 56,208,086 28,104,043 84,312,130 42,156,065 126,468,196 63,234,098 31,617,049 94,851,148 47,425,574 23,712,787 71,138,362 35,569,181 106,707,544 53,353,772 26,676,886 13,338,443 40,015,330 20,007,665 60,022,996 30,011,498 15,005,749 45,017,248 22,508,624 11,254,312 5,627,156 2,813,578 1,406,789

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