84,957

3 × 28319

Starting at 84,957, the Collatz iteration reaches 1 after 102 steps. The first transition is 254872; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 28319

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 113,280

Proper Divisor Sum 28,323

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #84947 ← → #84961

Radix Representation

Decimal	84957
Binary	10100101111011101 (17 bits)
Octal	0o245735
Hexadecimal	0x14BDD

Divisor Catalog (4)

1 3 28,319 84,957

Collatz Trajectory (102 steps to reach 1)

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

84,957 254,872 127,436 63,718 31,859 95,578 47,789 143,368 71,684 35,842 17,921 53,764 26,882 13,441 40,324 20,162 10,081 30,244 15,122 7,561 22,684 11,342 5,671 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072 21,536 10,768 5,384 2,692 1,346 673 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542

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