617,103

3² × 68567

617,103 factors as 3^2 × 68567. Its 6 positive divisors give a proper-divisor sum of 274,281, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 3^2 × 68567

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 891,384

Proper Divisor Sum 274,281

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #617087 ← → #617107

Radix Representation

Decimal	617103
Binary	10010110101010001111 (20 bits)
Octal	0o2265217
Hexadecimal	0x96A8F

Divisor Catalog (6)

1 3 9 68,567 205,701 617,103

Collatz Trajectory (110 steps to reach 1)

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

617,103 1,851,310 925,655 2,776,966 1,388,483 4,165,450 2,082,725 6,248,176 3,124,088 1,562,044 781,022 390,511 1,171,534 585,767 1,757,302 878,651 2,635,954 1,317,977 3,953,932 1,976,966 988,483 2,965,450 1,482,725 4,448,176 2,224,088 1,112,044 556,022 278,011 834,034 417,017 1,251,052 625,526 312,763 938,290 469,145 1,407,436 703,718 351,859 1,055,578 527,789 1,583,368 791,684 395,842 197,921 593,764 296,882 148,441 445,324 222,662 111,331 333,994 166,997 500,992 250,496 125,248 62,624 31,312 15,656 7,828 3,914

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