616,567

7² × 12583

Starting at 616,567, the Collatz iteration reaches 1 after 164 steps. The first transition is 1849702; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 12583

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 717,288

Proper Divisor Sum 100,721

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #616547 ← → #616579

Radix Representation

Decimal	616567
Binary	10010110100001110111 (20 bits)
Octal	0o2264167
Hexadecimal	0x96877

Divisor Catalog (6)

1 7 49 12,583 88,081 616,567

Collatz Trajectory (164 steps to reach 1)

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

616,567 1,849,702 924,851 2,774,554 1,387,277 4,161,832 2,080,916 1,040,458 520,229 1,560,688 780,344 390,172 195,086 97,543 292,630 146,315 438,946 219,473 658,420 329,210 164,605 493,816 246,908 123,454 61,727 185,182 92,591 277,774 138,887 416,662 208,331 624,994 312,497 937,492 468,746 234,373 703,120 351,560 175,780 87,890 43,945 131,836 65,918 32,959 98,878 49,439 148,318 74,159 222,478 111,239 333,718 166,859 500,578 250,289 750,868 375,434 187,717 563,152 281,576 140,788

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