7,264,288

2⁵ × 137 × 1657

7,264,288 factors as 2^5 × 137 × 1657. Its 24 positive divisors give a proper-divisor sum of 7,150,364, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^5 × 137 × 1657

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,414,652

Proper Divisor Sum 7,150,364

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7264277 ← → #7264319

Radix Representation

Decimal	7264288
Binary	11011101101100000100000 (23 bits)
Octal	0o33554040
Hexadecimal	0x6ED820

Divisor Catalog (24)

Collatz Trajectory (111 steps to reach 1)

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

7,264,288 3,632,144 1,816,072 908,036 454,018 227,009 681,028 340,514 170,257 510,772 255,386 127,693 383,080 191,540 95,770 47,885 143,656 71,828 35,914 17,957 53,872 26,936 13,468 6,734 3,367 10,102 5,051 15,154 7,577 22,732 11,366 5,683 17,050 8,525 25,576 12,788 6,394 3,197 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282

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