3,697,868

2² × 131 × 7057

3,697,868 factors as 2^2 × 131 × 7057. Its 12 positive divisors give a proper-divisor sum of 2,823,724, so this integer is deficient. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^2 × 131 × 7057

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,521,592

Proper Divisor Sum 2,823,724

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #3697867 ← → #3697907

Radix Representation

Decimal	3697868
Binary	1110000110110011001100 (22 bits)
Octal	0o16066314
Hexadecimal	0x386CCC

Divisor Catalog (12)

1 2 4 131 262 524 7,057 14,114 28,228 924,467 1,848,934 3,697,868

Collatz Trajectory (84 steps to reach 1)

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

3,697,868 1,848,934 924,467 2,773,402 1,386,701 4,160,104 2,080,052 1,040,026 520,013 1,560,040 780,020 390,010 195,005 585,016 292,508 146,254 73,127 219,382 109,691 329,074 164,537 493,612 246,806 123,403 370,210 185,105 555,316 277,658 138,829 416,488 208,244 104,122 52,061 156,184 78,092 39,046 19,523 58,570 29,285 87,856 43,928 21,964 10,982 5,491 16,474 8,237 24,712 12,356 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304 652

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