3,637,614

2 × 3 × 71 × 8539

3,637,614 has digital root 3. The neighboring primes are 3637603 and 3637619; its proper-divisor sum differs from the starting integer by 103,332.

Prime Factor Structure

Factorization String 2 × 3 × 71 × 8539

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,378,560

Proper Divisor Sum 3,740,946

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3637603 ← → #3637619

Radix Representation

Decimal	3637614
Binary	1101111000000101101110 (22 bits)
Octal	0o15700556
Hexadecimal	0x37816E

Divisor Catalog (16)

1 2 3 6 71 142 213 426 8,539 17,078 25,617 51,234 606,269 1,212,538 1,818,807 3,637,614

Collatz Trajectory (203 steps to reach 1)

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

3,637,614 1,818,807 5,456,422 2,728,211 8,184,634 4,092,317 12,276,952 6,138,476 3,069,238 1,534,619 4,603,858 2,301,929 6,905,788 3,452,894 1,726,447 5,179,342 2,589,671 7,769,014 3,884,507 11,653,522 5,826,761 17,480,284 8,740,142 4,370,071 13,110,214 6,555,107 19,665,322 9,832,661 29,497,984 14,748,992 7,374,496 3,687,248 1,843,624 921,812 460,906 230,453 691,360 345,680 172,840 86,420 43,210 21,605 64,816 32,408 16,204 8,102 4,051 12,154 6,077 18,232 9,116 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847

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