7,658,806

2 × 17 × 89 × 2531

Starting at 7,658,806, the Collatz iteration reaches 1 after 155 steps. The first transition is 3829403; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 89 × 2531

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,305,520

Proper Divisor Sum 4,646,714

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7658779 ← → #7658831

Radix Representation

Decimal	7658806
Binary	11101001101110100110110 (23 bits)
Octal	0o35156466
Hexadecimal	0x74DD36

Divisor Catalog (16)

1 2 17 34 89 178 1,513 2,531 3,026 5,062 43,027 86,054 225,259 450,518 3,829,403 7,658,806

Collatz Trajectory (155 steps to reach 1)

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

7,658,806 3,829,403 11,488,210 5,744,105 17,232,316 8,616,158 4,308,079 12,924,238 6,462,119 19,386,358 9,693,179 29,079,538 14,539,769 43,619,308 21,809,654 10,904,827 32,714,482 16,357,241 49,071,724 24,535,862 12,267,931 36,803,794 18,401,897 55,205,692 27,602,846 13,801,423 41,404,270 20,702,135 62,106,406 31,053,203 93,159,610 46,579,805 139,739,416 69,869,708 34,934,854 17,467,427 52,402,282 26,201,141 78,603,424 39,301,712 19,650,856 9,825,428 4,912,714 2,456,357 7,369,072 3,684,536 1,842,268 921,134 460,567 1,381,702 690,851 2,072,554 1,036,277 3,108,832 1,554,416 777,208 388,604 194,302 97,151 291,454

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