9,725,833

13 × 131 × 5711

Starting at 9,725,833, the Collatz iteration reaches 1 after 88 steps. The first transition is 29177500; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 131 × 5711

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,555,776

Proper Divisor Sum 829,943

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #9725827 ← → #9725839

Radix Representation

Decimal	9725833
Binary	100101000110011110001001 (24 bits)
Octal	0o45063611
Hexadecimal	0x946789

Divisor Catalog (8)

1 13 131 1,703 5,711 74,243 748,141 9,725,833

Collatz Trajectory (88 steps to reach 1)

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

9,725,833 29,177,500 14,588,750 7,294,375 21,883,126 10,941,563 32,824,690 16,412,345 49,237,036 24,618,518 12,309,259 36,927,778 18,463,889 55,391,668 27,695,834 13,847,917 41,543,752 20,771,876 10,385,938 5,192,969 15,578,908 7,789,454 3,894,727 11,684,182 5,842,091 17,526,274 8,763,137 26,289,412 13,144,706 6,572,353 19,717,060 9,858,530 4,929,265 14,787,796 7,393,898 3,696,949 11,090,848 5,545,424 2,772,712 1,386,356 693,178 346,589 1,039,768 519,884 259,942 129,971 389,914 194,957 584,872 292,436 146,218 73,109 219,328 109,664 54,832 27,416 13,708 6,854 3,427 10,282

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