128,151

3² × 29 × 491

Starting at 128,151, the Collatz iteration reaches 1 after 48 steps. The first transition is 384454; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 29 × 491

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 191,880

Proper Divisor Sum 63,729

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #128147 ← → #128153

Radix Representation

Decimal	128151
Binary	11111010010010111 (17 bits)
Octal	0o372227
Hexadecimal	0x1F497

Divisor Catalog (12)

1 3 9 29 87 261 491 1,473 4,419 14,239 42,717 128,151

Collatz Trajectory (48 steps to reach 1)

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

128,151 384,454 192,227 576,682 288,341 865,024 432,512 216,256 108,128 54,064 27,032 13,516 6,758 3,379 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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