617,289

3 × 205763

617,289 factors as 3 × 205763. Its 4 positive divisors give a proper-divisor sum of 205,767, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 3 × 205763

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 823,056

Proper Divisor Sum 205,767

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #617273 ← → #617293

Radix Representation

Decimal	617289
Binary	10010110101101001001 (20 bits)
Octal	0o2265511
Hexadecimal	0x96B49

Divisor Catalog (4)

1 3 205,763 617,289

Collatz Trajectory (110 steps to reach 1)

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

617,289 1,851,868 925,934 462,967 1,388,902 694,451 2,083,354 1,041,677 3,125,032 1,562,516 781,258 390,629 1,171,888 585,944 292,972 146,486 73,243 219,730 109,865 329,596 164,798 82,399 247,198 123,599 370,798 185,399 556,198 278,099 834,298 417,149 1,251,448 625,724 312,862 156,431 469,294 234,647 703,942 351,971 1,055,914 527,957 1,583,872 791,936 395,968 197,984 98,992 49,496 24,748 12,374 6,187 18,562 9,281 27,844 13,922 6,961 20,884 10,442 5,221 15,664 7,832 3,916

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