7,203,501

3² × 31 × 25819

7,203,501 factors as 3^2 × 31 × 25819. Its 12 positive divisors give a proper-divisor sum of 3,537,619, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 3^2 × 31 × 25819

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,741,120

Proper Divisor Sum 3,537,619

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #7203491 ← → #7203503

Radix Representation

Decimal	7203501
Binary	11011011110101010101101 (23 bits)
Octal	0o33365255
Hexadecimal	0x6DEAAD

Divisor Catalog (12)

1 3 9 31 93 279 25,819 77,457 232,371 800,389 2,401,167 7,203,501

Collatz Trajectory (98 steps to reach 1)

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

7,203,501 21,610,504 10,805,252 5,402,626 2,701,313 8,103,940 4,051,970 2,025,985 6,077,956 3,038,978 1,519,489 4,558,468 2,279,234 1,139,617 3,418,852 1,709,426 854,713 2,564,140 1,282,070 641,035 1,923,106 961,553 2,884,660 1,442,330 721,165 2,163,496 1,081,748 540,874 270,437 811,312 405,656 202,828 101,414 50,707 152,122 76,061 228,184 114,092 57,046 28,523 85,570 42,785 128,356 64,178 32,089 96,268 48,134 24,067 72,202 36,101 108,304 54,152 27,076 13,538 6,769 20,308 10,154 5,077 15,232 7,616

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