152,007

3 × 23 × 2203

Starting at 152,007, the Collatz iteration reaches 1 after 108 steps. The first transition is 456022; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 23 × 2203

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 211,584

Proper Divisor Sum 59,577

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #152003 ← → #152017

Radix Representation

Decimal	152007
Binary	100101000111000111 (18 bits)
Octal	0o450707
Hexadecimal	0x251C7

Divisor Catalog (8)

1 3 23 69 2,203 6,609 50,669 152,007

Collatz Trajectory (108 steps to reach 1)

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

152,007 456,022 228,011 684,034 342,017 1,026,052 513,026 256,513 769,540 384,770 192,385 577,156 288,578 144,289 432,868 216,434 108,217 324,652 162,326 81,163 243,490 121,745 365,236 182,618 91,309 273,928 136,964 68,482 34,241 102,724 51,362 25,681 77,044 38,522 19,261 57,784 28,892 14,446 7,223 21,670 10,835 32,506 16,253 48,760 24,380 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720

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