7,759,817

13 × 137 × 4357

Starting at 7,759,817, the Collatz iteration reaches 1 after 217 steps. The first transition is 23279452; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 137 × 4357

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,419,656

Proper Divisor Sum 659,839

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #7759813 ← → #7759831

Radix Representation

Decimal	7759817
Binary	11101100110011111001001 (23 bits)
Octal	0o35463711
Hexadecimal	0x7667C9

Divisor Catalog (8)

1 13 137 1,781 4,357 56,641 596,909 7,759,817

Collatz Trajectory (217 steps to reach 1)

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

7,759,817 23,279,452 11,639,726 5,819,863 17,459,590 8,729,795 26,189,386 13,094,693 39,284,080 19,642,040 9,821,020 4,910,510 2,455,255 7,365,766 3,682,883 11,048,650 5,524,325 16,572,976 8,286,488 4,143,244 2,071,622 1,035,811 3,107,434 1,553,717 4,661,152 2,330,576 1,165,288 582,644 291,322 145,661 436,984 218,492 109,246 54,623 163,870 81,935 245,806 122,903 368,710 184,355 553,066 276,533 829,600 414,800 207,400 103,700 51,850 25,925 77,776 38,888 19,444 9,722 4,861 14,584 7,292 3,646 1,823 5,470 2,735 8,206

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