3,697,746

2 × 3 × 13 × 47407

Prime Factor Structure

Factorization String 2 × 3 × 13 × 47407

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,964,544

Proper Divisor Sum 4,266,798

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3697741 ← → #3697777

Radix Representation

Decimal	3697746
Binary	1110000110110001010010 (22 bits)
Octal	0o16066122
Hexadecimal	0x386C52

Divisor Catalog (16)

1 2 3 6 13 26 39 78 47,407 94,814 142,221 284,442 616,291 1,232,582 1,848,873 3,697,746

Collatz Trajectory (146 steps to reach 1)

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

3,697,746 1,848,873 5,546,620 2,773,310 1,386,655 4,159,966 2,079,983 6,239,950 3,119,975 9,359,926 4,679,963 14,039,890 7,019,945 21,059,836 10,529,918 5,264,959 15,794,878 7,897,439 23,692,318 11,846,159 35,538,478 17,769,239 53,307,718 26,653,859 79,961,578 39,980,789 119,942,368 59,971,184 29,985,592 14,992,796 7,496,398 3,748,199 11,244,598 5,622,299 16,866,898 8,433,449 25,300,348 12,650,174 6,325,087 18,975,262 9,487,631 28,462,894 14,231,447 42,694,342 21,347,171 64,041,514 32,020,757 96,062,272 48,031,136 24,015,568 12,007,784 6,003,892 3,001,946 1,500,973 4,502,920 2,251,460 1,125,730 562,865 1,688,596 844,298

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