7,729,959

3 × 2576653

Starting at 7,729,959, the Collatz iteration reaches 1 after 217 steps. The first transition is 23189878; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 2576653

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 10,306,616

Proper Divisor Sum 2,576,657

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #7729957 ← → #7729963

Radix Representation

Decimal	7729959
Binary	11101011111001100100111 (23 bits)
Octal	0o35371447
Hexadecimal	0x75F327

Divisor Catalog (4)

1 3 2,576,653 7,729,959

Collatz Trajectory (217 steps to reach 1)

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

7,729,959 23,189,878 11,594,939 34,784,818 17,392,409 52,177,228 26,088,614 13,044,307 39,132,922 19,566,461 58,699,384 29,349,692 14,674,846 7,337,423 22,012,270 11,006,135 33,018,406 16,509,203 49,527,610 24,763,805 74,291,416 37,145,708 18,572,854 9,286,427 27,859,282 13,929,641 41,788,924 20,894,462 10,447,231 31,341,694 15,670,847 47,012,542 23,506,271 70,518,814 35,259,407 105,778,222 52,889,111 158,667,334 79,333,667 238,001,002 119,000,501 357,001,504 178,500,752 89,250,376 44,625,188 22,312,594 11,156,297 33,468,892 16,734,446 8,367,223 25,101,670 12,550,835 37,652,506 18,826,253 56,478,760 28,239,380 14,119,690 7,059,845 21,179,536 10,589,768

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