7,916,075

5² × 41 × 7723

Starting at 7,916,075, the Collatz iteration reaches 1 after 292 steps. The first transition is 23748226; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 41 × 7723

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,056,648

Proper Divisor Sum 2,140,573

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7916059 ← → #7916081

Radix Representation

Decimal	7916075
Binary	11110001100101000101011 (23 bits)
Octal	0o36145053
Hexadecimal	0x78CA2B

Divisor Catalog (12)

1 5 25 41 205 1,025 7,723 38,615 193,075 316,643 1,583,215 7,916,075

Collatz Trajectory (292 steps to reach 1)

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

7,916,075 23,748,226 11,874,113 35,622,340 17,811,170 8,905,585 26,716,756 13,358,378 6,679,189 20,037,568 10,018,784 5,009,392 2,504,696 1,252,348 626,174 313,087 939,262 469,631 1,408,894 704,447 2,113,342 1,056,671 3,170,014 1,585,007 4,755,022 2,377,511 7,132,534 3,566,267 10,698,802 5,349,401 16,048,204 8,024,102 4,012,051 12,036,154 6,018,077 18,054,232 9,027,116 4,513,558 2,256,779 6,770,338 3,385,169 10,155,508 5,077,754 2,538,877 7,616,632 3,808,316 1,904,158 952,079 2,856,238 1,428,119 4,284,358 2,142,179 6,426,538 3,213,269 9,639,808 4,819,904 2,409,952 1,204,976 602,488 301,244

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