7,290,261

3² × 11 × 211 × 349

7,290,261 factors as 3^2 × 11 × 211 × 349. Its 24 positive divisors give a proper-divisor sum of 4,284,939, so this integer is deficient. The Collatz stopping time is 59 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 211 × 349

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,575,200

Proper Divisor Sum 4,284,939

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7290233 ← → #7290271

Radix Representation

Decimal	7290261
Binary	11011110011110110010101 (23 bits)
Octal	0o33636625
Hexadecimal	0x6F3D95

Divisor Catalog (24)

Collatz Trajectory (59 steps to reach 1)

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

7,290,261 21,870,784 10,935,392 5,467,696 2,733,848 1,366,924 683,462 341,731 1,025,194 512,597 1,537,792 768,896 384,448 192,224 96,112 48,056 24,028 12,014 6,007 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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