7,430,013

3² × 43 × 73 × 263

7,430,013 factors as 3^2 × 43 × 73 × 263. Its 24 positive divisors give a proper-divisor sum of 3,744,579, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 3^2 × 43 × 73 × 263

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,174,592

Proper Divisor Sum 3,744,579

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #7429999 ← → #7430023

Radix Representation

Decimal	7430013
Binary	11100010101111101111101 (23 bits)
Octal	0o34257575
Hexadecimal	0x715F7D

Divisor Catalog (24)

1 3 9 43 73 129 219 263 387 657 789 2,367 3,139 9,417 11,309 19,199 28,251 33,927 57,597 101,781 172,791 825,557 2,476,671 7,430,013

Collatz Trajectory (142 steps to reach 1)

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

7,430,013 22,290,040 11,145,020 5,572,510 2,786,255 8,358,766 4,179,383 12,538,150 6,269,075 18,807,226 9,403,613 28,210,840 14,105,420 7,052,710 3,526,355 10,579,066 5,289,533 15,868,600 7,934,300 3,967,150 1,983,575 5,950,726 2,975,363 8,926,090 4,463,045 13,389,136 6,694,568 3,347,284 1,673,642 836,821 2,510,464 1,255,232 627,616 313,808 156,904 78,452 39,226 19,613 58,840 29,420 14,710 7,355 22,066 11,033 33,100 16,550 8,275 24,826 12,413 37,240 18,620 9,310 4,655 13,966 6,983 20,950 10,475 31,426 15,713 47,140

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