3,713,616

2⁴ × 3² × 17 × 37 × 41

Prime Factor Structure

Factorization String 2^4 × 3^2 × 17 × 37 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 11,577,384

Proper Divisor Sum 7,863,768

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3713587 ← → #3713617

Radix Representation

Decimal	3713616
Binary	1110001010101001010000 (22 bits)
Octal	0o16125120
Hexadecimal	0x38AA50

Divisor Catalog (60 of 120)

1 2 3 4 6 8 9 12 16 17 18 24 34 36 37 41 48 51 68 72 74 82 102 111 123 136 144 148 153 164 204 222 246 272 296 306 328 333 369 408 444 492 592 612 629 656 666 697 738 816 888 984 1,224 1,258 1,332 1,394 1,476 1,517 1,776 1,887

Collatz Trajectory (141 steps to reach 1)

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

3,713,616 1,856,808 928,404 464,202 232,101 696,304 348,152 174,076 87,038 43,519 130,558 65,279 195,838 97,919 293,758 146,879 440,638 220,319 660,958 330,479 991,438 495,719 1,487,158 743,579 2,230,738 1,115,369 3,346,108 1,673,054 836,527 2,509,582 1,254,791 3,764,374 1,882,187 5,646,562 2,823,281 8,469,844 4,234,922 2,117,461 6,352,384 3,176,192 1,588,096 794,048 397,024 198,512 99,256 49,628 24,814 12,407 37,222 18,611 55,834 27,917 83,752 41,876 20,938 10,469 31,408 15,704 7,852 3,926

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