3,607,968

2⁵ × 3 × 7² × 13 × 59

3,607,968 has the prime decomposition 2^5 × 3 × 7^2 × 13 × 59. Its 5 distinct prime factors produce 144 positive divisors.

Prime Factor Structure

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

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 12,065,760

Proper Divisor Sum 8,457,792

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3607963 ← → #3607969

Radix Representation

Decimal	3607968
Binary	1101110000110110100000 (22 bits)
Octal	0o15606640
Hexadecimal	0x370DA0

Divisor Catalog (60 of 144)

1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 59 78 84 91 96 98 104 112 118 147 156 168 177 182 196 208 224 236 273 294 312 336 354 364 392 413 416 472 546 588 624 637 672 708 728 767 784 826

Collatz Trajectory (234 steps to reach 1)

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

3,607,968 1,803,984 901,992 450,996 225,498 112,749 338,248 169,124 84,562 42,281 126,844 63,422 31,711 95,134 47,567 142,702 71,351 214,054 107,027 321,082 160,541 481,624 240,812 120,406 60,203 180,610 90,305 270,916 135,458 67,729 203,188 101,594 50,797 152,392 76,196 38,098 19,049 57,148 28,574 14,287 42,862 21,431 64,294 32,147 96,442 48,221 144,664 72,332 36,166 18,083 54,250 27,125 81,376 40,688 20,344 10,172 5,086 2,543 7,630 3,815

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