7,344,910

2 × 5 × 59² × 211

7,344,910 factors as 2 × 5 × 59^2 × 211. Its 24 positive divisors give a proper-divisor sum of 6,167,546, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2 × 5 × 59^2 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,512,456

Proper Divisor Sum 6,167,546

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7344893 ← → #7344941

Radix Representation

Decimal	7344910
Binary	11100000001001100001110 (23 bits)
Octal	0o34011416
Hexadecimal	0x70130E

Divisor Catalog (24)

Collatz Trajectory (204 steps to reach 1)

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

7,344,910 3,672,455 11,017,366 5,508,683 16,526,050 8,263,025 24,789,076 12,394,538 6,197,269 18,591,808 9,295,904 4,647,952 2,323,976 1,161,988 580,994 290,497 871,492 435,746 217,873 653,620 326,810 163,405 490,216 245,108 122,554 61,277 183,832 91,916 45,958 22,979 68,938 34,469 103,408 51,704 25,852 12,926 6,463 19,390 9,695 29,086 14,543 43,630 21,815 65,446 32,723 98,170 49,085 147,256 73,628 36,814 18,407 55,222 27,611 82,834 41,417 124,252 62,126 31,063 93,190 46,595

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