7,729,615

5 × 61 × 25343

Starting at 7,729,615, the Collatz iteration reaches 1 after 124 steps. The first transition is 23188846; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 61 × 25343

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,427,968

Proper Divisor Sum 1,698,353

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7729613 ← → #7729619

Radix Representation

Decimal	7729615
Binary	11101011111000111001111 (23 bits)
Octal	0o35370717
Hexadecimal	0x75F1CF

Divisor Catalog (8)

1 5 61 305 25,343 126,715 1,545,923 7,729,615

Collatz Trajectory (124 steps to reach 1)

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

7,729,615 23,188,846 11,594,423 34,783,270 17,391,635 52,174,906 26,087,453 78,262,360 39,131,180 19,565,590 9,782,795 29,348,386 14,674,193 44,022,580 22,011,290 11,005,645 33,016,936 16,508,468 8,254,234 4,127,117 12,381,352 6,190,676 3,095,338 1,547,669 4,643,008 2,321,504 1,160,752 580,376 290,188 145,094 72,547 217,642 108,821 326,464 163,232 81,616 40,808 20,404 10,202 5,101 15,304 7,652 3,826 1,913 5,740 2,870 1,435 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180

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