17,522,001

3⁵ × 7 × 10301

17,522,001 factors as 3^5 × 7 × 10301. Its 24 positive divisors give a proper-divisor sum of 12,477,423, so this integer is deficient. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 3^5 × 7 × 10301

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 29,999,424

Proper Divisor Sum 12,477,423

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #17521993 ← → #17522017

Radix Representation

Decimal	17522001
Binary	1000010110101110101010001 (25 bits)
Octal	0o102656521
Hexadecimal	0x10B5D51

Divisor Catalog (24)

Collatz Trajectory (169 steps to reach 1)

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

17,522,001 52,566,004 26,283,002 13,141,501 39,424,504 19,712,252 9,856,126 4,928,063 14,784,190 7,392,095 22,176,286 11,088,143 33,264,430 16,632,215 49,896,646 24,948,323 74,844,970 37,422,485 112,267,456 56,133,728 28,066,864 14,033,432 7,016,716 3,508,358 1,754,179 5,262,538 2,631,269 7,893,808 3,946,904 1,973,452 986,726 493,363 1,480,090 740,045 2,220,136 1,110,068 555,034 277,517 832,552 416,276 208,138 104,069 312,208 156,104 78,052 39,026 19,513 58,540 29,270 14,635 43,906 21,953 65,860 32,930 16,465 49,396 24,698 12,349 37,048 18,524

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