612,185

5 × 7 × 17491

Starting at 612,185, the Collatz iteration reaches 1 after 115 steps. The first transition is 1836556; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 17491

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 839,616

Proper Divisor Sum 227,431

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #612181 ← → #612193

Radix Representation

Decimal	612185
Binary	10010101011101011001 (20 bits)
Octal	0o2253531
Hexadecimal	0x95759

Divisor Catalog (8)

1 5 7 35 17,491 87,455 122,437 612,185

Collatz Trajectory (115 steps to reach 1)

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

612,185 1,836,556 918,278 459,139 1,377,418 688,709 2,066,128 1,033,064 516,532 258,266 129,133 387,400 193,700 96,850 48,425 145,276 72,638 36,319 108,958 54,479 163,438 81,719 245,158 122,579 367,738 183,869 551,608 275,804 137,902 68,951 206,854 103,427 310,282 155,141 465,424 232,712 116,356 58,178 29,089 87,268 43,634 21,817 65,452 32,726 16,363 49,090 24,545 73,636 36,818 18,409 55,228 27,614 13,807 41,422 20,711 62,134 31,067 93,202 46,601 139,804

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