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Atlas › Integer Profiles › Node 3,712,902

3,712,902

2 × 3 × 17 × 89 × 409
Abundant Even Composite

3,712,902 factors as 2 × 3 × 17 × 89 × 409. Its 32 positive divisors give a proper-divisor sum of 4,257,498, so this integer is abundant. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 89 × 409
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,970,400
Proper Divisor Sum 4,257,498
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3712897 ← → #3712909

Radix Representation

Decimal 3712902
Binary 1110001010011110000110 (22 bits)
Octal 0o16123606
Hexadecimal 0x38A786

Divisor Catalog (32)

1 2 3 6 17 34 51 89 102 178 267 409 534 818 1,227 1,513 2,454 3,026 4,539 6,953 9,078 13,906 20,859 36,401 41,718 72,802 109,203 218,406 618,817 1,237,634 1,856,451 3,712,902

Collatz Trajectory (190 steps to reach 1)

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

3,712,902 1,856,451 5,569,354 2,784,677 8,354,032 4,177,016 2,088,508 1,044,254 522,127 1,566,382 783,191 2,349,574 1,174,787 3,524,362 1,762,181 5,286,544 2,643,272 1,321,636 660,818 330,409 991,228 495,614 247,807 743,422 371,711 1,115,134 557,567 1,672,702 836,351 2,509,054 1,254,527 3,763,582 1,881,791 5,645,374 2,822,687 8,468,062 4,234,031 12,702,094 6,351,047 19,053,142 9,526,571 28,579,714 14,289,857 42,869,572 21,434,786 10,717,393 32,152,180 16,076,090 8,038,045 24,114,136 12,057,068 6,028,534 3,014,267 9,042,802 4,521,401 13,564,204 6,782,102 3,391,051 10,173,154 5,086,577

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