365,597

37 × 41 × 241

Starting at 365,597, the Collatz iteration reaches 1 after 179 steps. The first transition is 1096792; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 37 × 41 × 241

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 386,232

Proper Divisor Sum 20,635

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #365591 ← → #365611

Radix Representation

Decimal	365597
Binary	1011001010000011101 (19 bits)
Octal	0o1312035
Hexadecimal	0x5941D

Divisor Catalog (8)

1 37 41 241 1,517 8,917 9,881 365,597

Collatz Trajectory (179 steps to reach 1)

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

365,597 1,096,792 548,396 274,198 137,099 411,298 205,649 616,948 308,474 154,237 462,712 231,356 115,678 57,839 173,518 86,759 260,278 130,139 390,418 195,209 585,628 292,814 146,407 439,222 219,611 658,834 329,417 988,252 494,126 247,063 741,190 370,595 1,111,786 555,893 1,667,680 833,840 416,920 208,460 104,230 52,115 156,346 78,173 234,520 117,260 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

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