17,521,004

2² × 4380251

17,521,004 factors as 2^2 × 4380251. Its 6 positive divisors give a proper-divisor sum of 13,140,760, so this integer is deficient. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^2 × 4380251

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 30,661,764

Proper Divisor Sum 13,140,760

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #17520991 ← → #17521027

Radix Representation

Decimal	17521004
Binary	1000010110101100101101100 (25 bits)
Octal	0o102654554
Hexadecimal	0x10B596C

Divisor Catalog (6)

1 2 4 4,380,251 8,760,502 17,521,004

Collatz Trajectory (182 steps to reach 1)

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

17,521,004 8,760,502 4,380,251 13,140,754 6,570,377 19,711,132 9,855,566 4,927,783 14,783,350 7,391,675 22,175,026 11,087,513 33,262,540 16,631,270 8,315,635 24,946,906 12,473,453 37,420,360 18,710,180 9,355,090 4,677,545 14,032,636 7,016,318 3,508,159 10,524,478 5,262,239 15,786,718 7,893,359 23,680,078 11,840,039 35,520,118 17,760,059 53,280,178 26,640,089 79,920,268 39,960,134 19,980,067 59,940,202 29,970,101 89,910,304 44,955,152 22,477,576 11,238,788 5,619,394 2,809,697 8,429,092 4,214,546 2,107,273 6,321,820 3,160,910 1,580,455 4,741,366 2,370,683 7,112,050 3,556,025 10,668,076 5,334,038 2,667,019 8,001,058 4,000,529

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