3,703,736

2³ × 23 × 20129

3,703,736 is even and not a perfect square. Its factorization is 2^3 × 23 × 20129 and its 16 divisors sum to 7,246,800.

Prime Factor Structure

Factorization String 2^3 × 23 × 20129

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,246,800

Proper Divisor Sum 3,543,064

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3703723 ← → #3703747

Radix Representation

Decimal	3703736
Binary	1110001000001110111000 (22 bits)
Octal	0o16101670
Hexadecimal	0x3883B8

Divisor Catalog (16)

1 2 4 8 23 46 92 184 20,129 40,258 80,516 161,032 462,967 925,934 1,851,868 3,703,736

Collatz Trajectory (110 steps to reach 1)

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

3,703,736 1,851,868 925,934 462,967 1,388,902 694,451 2,083,354 1,041,677 3,125,032 1,562,516 781,258 390,629 1,171,888 585,944 292,972 146,486 73,243 219,730 109,865 329,596 164,798 82,399 247,198 123,599 370,798 185,399 556,198 278,099 834,298 417,149 1,251,448 625,724 312,862 156,431 469,294 234,647 703,942 351,971 1,055,914 527,957 1,583,872 791,936 395,968 197,984 98,992 49,496 24,748 12,374 6,187 18,562 9,281 27,844 13,922 6,961 20,884 10,442 5,221 15,664 7,832 3,916

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