7,808,739

3 × 37 × 103 × 683

Starting at 7,808,739, the Collatz iteration reaches 1 after 230 steps. The first transition is 23426218; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 37 × 103 × 683

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,812,672

Proper Divisor Sum 3,003,933

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7808711 ← → #7808747

Radix Representation

Decimal	7808739
Binary	11101110010011011100011 (23 bits)
Octal	0o35623343
Hexadecimal	0x7726E3

Divisor Catalog (16)

1 3 37 103 111 309 683 2,049 3,811 11,433 25,271 70,349 75,813 211,047 2,602,913 7,808,739

Collatz Trajectory (230 steps to reach 1)

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

7,808,739 23,426,218 11,713,109 35,139,328 17,569,664 8,784,832 4,392,416 2,196,208 1,098,104 549,052 274,526 137,263 411,790 205,895 617,686 308,843 926,530 463,265 1,389,796 694,898 347,449 1,042,348 521,174 260,587 781,762 390,881 1,172,644 586,322 293,161 879,484 439,742 219,871 659,614 329,807 989,422 494,711 1,484,134 742,067 2,226,202 1,113,101 3,339,304 1,669,652 834,826 417,413 1,252,240 626,120 313,060 156,530 78,265 234,796 117,398 58,699 176,098 88,049 264,148 132,074 66,037 198,112 99,056 49,528

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