877,614

2 × 3 × 107 × 1367

Starting at 877,614, the Collatz iteration reaches 1 after 157 steps. The first transition is 438807; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 107 × 1367

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,772,928

Proper Divisor Sum 895,314

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #877609 ← → #877619

Radix Representation

Decimal	877614
Binary	11010110010000101110 (20 bits)
Octal	0o3262056
Hexadecimal	0xD642E

Divisor Catalog (16)

1 2 3 6 107 214 321 642 1,367 2,734 4,101 8,202 146,269 292,538 438,807 877,614

Collatz Trajectory (157 steps to reach 1)

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

877,614 438,807 1,316,422 658,211 1,974,634 987,317 2,961,952 1,480,976 740,488 370,244 185,122 92,561 277,684 138,842 69,421 208,264 104,132 52,066 26,033 78,100 39,050 19,525 58,576 29,288 14,644 7,322 3,661 10,984 5,492 2,746 1,373 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161

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