145,332

2² × 3² × 11 × 367

Starting at 145,332, the Collatz iteration reaches 1 after 95 steps. The first transition is 72666; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 367

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 401,856

Proper Divisor Sum 256,524

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #145307 ← → #145349

Radix Representation

Decimal	145332
Binary	100011011110110100 (18 bits)
Octal	0o433664
Hexadecimal	0x237B4

Divisor Catalog (36)

1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 367 396 734 1,101 1,468 2,202 3,303 4,037 4,404 6,606 8,074 12,111 13,212 16,148 24,222 36,333 48,444 72,666 145,332

Collatz Trajectory (95 steps to reach 1)

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

145,332 72,666 36,333 109,000 54,500 27,250 13,625 40,876 20,438 10,219 30,658 15,329 45,988 22,994 11,497 34,492 17,246 8,623 25,870 12,935 38,806 19,403 58,210 29,105 87,316 43,658 21,829 65,488 32,744 16,372 8,186 4,093 12,280 6,140 3,070 1,535 4,606 2,303 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495 52,486 26,243 78,730 39,365 118,096 59,048 29,524 14,762 7,381 22,144 11,072 5,536

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