8,120,932

2² × 23 × 103 × 857

Starting at 8,120,932, the Collatz iteration reaches 1 after 137 steps. The first transition is 4060466; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 23 × 103 × 857

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,990,976

Proper Divisor Sum 6,870,044

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #8120921 ← → #8120933

Radix Representation

Decimal	8120932
Binary	11110111110101001100100 (23 bits)
Octal	0o36765144
Hexadecimal	0x7BEA64

Divisor Catalog (24)

1 2 4 23 46 92 103 206 412 857 1,714 2,369 3,428 4,738 9,476 19,711 39,422 78,844 88,271 176,542 353,084 2,030,233 4,060,466 8,120,932

Collatz Trajectory (137 steps to reach 1)

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

8,120,932 4,060,466 2,030,233 6,090,700 3,045,350 1,522,675 4,568,026 2,284,013 6,852,040 3,426,020 1,713,010 856,505 2,569,516 1,284,758 642,379 1,927,138 963,569 2,890,708 1,445,354 722,677 2,168,032 1,084,016 542,008 271,004 135,502 67,751 203,254 101,627 304,882 152,441 457,324 228,662 114,331 342,994 171,497 514,492 257,246 128,623 385,870 192,935 578,806 289,403 868,210 434,105 1,302,316 651,158 325,579 976,738 488,369 1,465,108 732,554 366,277 1,098,832 549,416 274,708 137,354 68,677 206,032 103,016 51,508

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