17,528,204

2² × 79 × 55469

17,528,204 factors as 2^2 × 79 × 55469. Its 12 positive divisors give a proper-divisor sum of 13,534,996, so this integer is deficient. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2^2 × 79 × 55469

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 31,063,200

Proper Divisor Sum 13,534,996

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #17528201 ← → #17528243

Radix Representation

Decimal	17528204
Binary	1000010110111010110001100 (25 bits)
Octal	0o102672614
Hexadecimal	0x10B758C

Divisor Catalog (12)

1 2 4 79 158 316 55,469 110,938 221,876 4,382,051 8,764,102 17,528,204

Collatz Trajectory (200 steps to reach 1)

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

17,528,204 8,764,102 4,382,051 13,146,154 6,573,077 19,719,232 9,859,616 4,929,808 2,464,904 1,232,452 616,226 308,113 924,340 462,170 231,085 693,256 346,628 173,314 86,657 259,972 129,986 64,993 194,980 97,490 48,745 146,236 73,118 36,559 109,678 54,839 164,518 82,259 246,778 123,389 370,168 185,084 92,542 46,271 138,814 69,407 208,222 104,111 312,334 156,167 468,502 234,251 702,754 351,377 1,054,132 527,066 263,533 790,600 395,300 197,650 98,825 296,476 148,238 74,119 222,358 111,179

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