7,791,955

5 × 149 × 10459

Starting at 7,791,955, the Collatz iteration reaches 1 after 98 steps. The first transition is 23375866; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 149 × 10459

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,414,000

Proper Divisor Sum 1,622,045

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #7791929 ← → #7791961

Radix Representation

Decimal	7791955
Binary	11101101110010101010011 (23 bits)
Octal	0o35562523
Hexadecimal	0x76E553

Divisor Catalog (8)

1 5 149 745 10,459 52,295 1,558,391 7,791,955

Collatz Trajectory (98 steps to reach 1)

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

7,791,955 23,375,866 11,687,933 35,063,800 17,531,900 8,765,950 4,382,975 13,148,926 6,574,463 19,723,390 9,861,695 29,585,086 14,792,543 44,377,630 22,188,815 66,566,446 33,283,223 99,849,670 49,924,835 149,774,506 74,887,253 224,661,760 112,330,880 56,165,440 28,082,720 14,041,360 7,020,680 3,510,340 1,755,170 877,585 2,632,756 1,316,378 658,189 1,974,568 987,284 493,642 246,821 740,464 370,232 185,116 92,558 46,279 138,838 69,419 208,258 104,129 312,388 156,194 78,097 234,292 117,146 58,573 175,720 87,860 43,930 21,965 65,896 32,948 16,474 8,237

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