7,315,503

3 × 13² × 47 × 307

7,315,503 factors as 3 × 13^2 × 47 × 307. Its 24 positive divisors give a proper-divisor sum of 3,506,385, so this integer is deficient. The Collatz stopping time is 266 steps.

Prime Factor Structure

Factorization String 3 × 13^2 × 47 × 307

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,821,888

Proper Divisor Sum 3,506,385

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7315499 ← → #7315543

Radix Representation

Decimal	7315503
Binary	11011111010000000101111 (23 bits)
Octal	0o33720057
Hexadecimal	0x6FA02F

Divisor Catalog (24)

Collatz Trajectory (266 steps to reach 1)

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

7,315,503 21,946,510 10,973,255 32,919,766 16,459,883 49,379,650 24,689,825 74,069,476 37,034,738 18,517,369 55,552,108 27,776,054 13,888,027 41,664,082 20,832,041 62,496,124 31,248,062 15,624,031 46,872,094 23,436,047 70,308,142 35,154,071 105,462,214 52,731,107 158,193,322 79,096,661 237,289,984 118,644,992 59,322,496 29,661,248 14,830,624 7,415,312 3,707,656 1,853,828 926,914 463,457 1,390,372 695,186 347,593 1,042,780 521,390 260,695 782,086 391,043 1,173,130 586,565 1,759,696 879,848 439,924 219,962 109,981 329,944 164,972 82,486 41,243 123,730 61,865 185,596 92,798 46,399

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