36,723,960

2³ × 3² × 5 × 7 × 13 × 19 × 59

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 7 × 13 × 19 × 59

Distinct Prime Factors 7

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 384

Divisor Sum (σ) 157,248,000

Proper Divisor Sum 120,524,040

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #36723959 ← → #36723971

Radix Representation

Decimal	36723960
Binary	10001100000101110011111000 (26 bits)
Octal	0o214056370
Hexadecimal	0x2305CF8

Divisor Catalog (60 of 384)

1 2 3 4 5 6 7 8 9 10 12 13 14 15 18 19 20 21 24 26 28 30 35 36 38 39 40 42 45 52 56 57 59 60 63 65 70 72 76 78 84 90 91 95 104 105 114 117 118 120 126 130 133 140 152 156 168 171 177 180

Collatz Trajectory (183 steps to reach 1)

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

36,723,960 18,361,980 9,180,990 4,590,495 13,771,486 6,885,743 20,657,230 10,328,615 30,985,846 15,492,923 46,478,770 23,239,385 69,718,156 34,859,078 17,429,539 52,288,618 26,144,309 78,432,928 39,216,464 19,608,232 9,804,116 4,902,058 2,451,029 7,353,088 3,676,544 1,838,272 919,136 459,568 229,784 114,892 57,446 28,723 86,170 43,085 129,256 64,628 32,314 16,157 48,472 24,236 12,118 6,059 18,178 9,089 27,268 13,634 6,817 20,452 10,226 5,113 15,340 7,670 3,835 11,506 5,753 17,260 8,630 4,315 12,946 6,473

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