17,513,815

5 × 11 × 359 × 887

17,513,815 factors as 5 × 11 × 359 × 887. Its 16 positive divisors give a proper-divisor sum of 5,503,145, so this integer is deficient. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 5 × 11 × 359 × 887

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 23,016,960

Proper Divisor Sum 5,503,145

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #17513813 ← → #17513819

Radix Representation

Decimal	17513815
Binary	1000010110011110101010111 (25 bits)
Octal	0o102636527
Hexadecimal	0x10B3D57

Divisor Catalog (16)

1 5 11 55 359 887 1,795 3,949 4,435 9,757 19,745 48,785 318,433 1,592,165 3,502,763 17,513,815

Collatz Trajectory (169 steps to reach 1)

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

17,513,815 52,541,446 26,270,723 78,812,170 39,406,085 118,218,256 59,109,128 29,554,564 14,777,282 7,388,641 22,165,924 11,082,962 5,541,481 16,624,444 8,312,222 4,156,111 12,468,334 6,234,167 18,702,502 9,351,251 28,053,754 14,026,877 42,080,632 21,040,316 10,520,158 5,260,079 15,780,238 7,890,119 23,670,358 11,835,179 35,505,538 17,752,769 53,258,308 26,629,154 13,314,577 39,943,732 19,971,866 9,985,933 29,957,800 14,978,900 7,489,450 3,744,725 11,234,176 5,617,088 2,808,544 1,404,272 702,136 351,068 175,534 87,767 263,302 131,651 394,954 197,477 592,432 296,216 148,108 74,054 37,027 111,082

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