17,417,636

2² × 47 × 92647

17,417,636 factors as 2^2 × 47 × 92647. Its 12 positive divisors give a proper-divisor sum of 13,712,092, so this integer is deficient. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2^2 × 47 × 92647

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 31,129,728

Proper Divisor Sum 13,712,092

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #17417627 ← → #17417651

Radix Representation

Decimal	17417636
Binary	1000010011100010110100100 (25 bits)
Octal	0o102342644
Hexadecimal	0x109C5A4

Divisor Catalog (12)

1 2 4 47 94 188 92,647 185,294 370,588 4,354,409 8,708,818 17,417,636

Collatz Trajectory (94 steps to reach 1)

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

17,417,636 8,708,818 4,354,409 13,063,228 6,531,614 3,265,807 9,797,422 4,898,711 14,696,134 7,348,067 22,044,202 11,022,101 33,066,304 16,533,152 8,266,576 4,133,288 2,066,644 1,033,322 516,661 1,549,984 774,992 387,496 193,748 96,874 48,437 145,312 72,656 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076

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