λ
Ratio Atlas

7,625,829

3 × 2541943
Deficient Odd Composite

7,625,829 factors as 3 × 2541943. Its 4 positive divisors give a proper-divisor sum of 2,541,947, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 3 × 2541943
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,167,776
Proper Divisor Sum 2,541,947
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7625819 ← → #7625837

Radix Representation

Decimal 7625829
Binary 11101000101110001100101 (23 bits)
Octal 0o35056145
Hexadecimal 0x745C65

Divisor Catalog (4)

1 3 2,541,943 7,625,829

Collatz Trajectory (155 steps to reach 1)

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

7,625,829 22,877,488 11,438,744 5,719,372 2,859,686 1,429,843 4,289,530 2,144,765 6,434,296 3,217,148 1,608,574 804,287 2,412,862 1,206,431 3,619,294 1,809,647 5,428,942 2,714,471 8,143,414 4,071,707 12,215,122 6,107,561 18,322,684 9,161,342 4,580,671 13,742,014 6,871,007 20,613,022 10,306,511 30,919,534 15,459,767 46,379,302 23,189,651 69,568,954 34,784,477 104,353,432 52,176,716 26,088,358 13,044,179 39,132,538 19,566,269 58,698,808 29,349,404 14,674,702 7,337,351 22,012,054 11,006,027 33,018,082 16,509,041 49,527,124 24,763,562 12,381,781 37,145,344 18,572,672 9,286,336 4,643,168 2,321,584 1,160,792 580,396 290,198

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