92,644

2² × 19 × 23 × 53

Starting at 92,644, the Collatz iteration reaches 1 after 146 steps. The first transition is 46322; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 19 × 23 × 53

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 181,440

Proper Divisor Sum 88,796

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #92641 ← → #92647

Radix Representation

Decimal	92644
Binary	10110100111100100 (17 bits)
Octal	0o264744
Hexadecimal	0x169E4

Divisor Catalog (24)

1 2 4 19 23 38 46 53 76 92 106 212 437 874 1,007 1,219 1,748 2,014 2,438 4,028 4,876 23,161 46,322 92,644

Collatz Trajectory (146 steps to reach 1)

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

92,644 46,322 23,161 69,484 34,742 17,371 52,114 26,057 78,172 39,086 19,543 58,630 29,315 87,946 43,973 131,920 65,960 32,980 16,490 8,245 24,736 12,368 6,184 3,092 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103

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