7,207,974

2 × 3³ × 133481

7,207,974 factors as 2 × 3^3 × 133481. Its 16 positive divisors give a proper-divisor sum of 8,809,866, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 133481

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,017,840

Proper Divisor Sum 8,809,866

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7207957 ← → #7207987

Radix Representation

Decimal	7207974
Binary	11011011111110000100110 (23 bits)
Octal	0o33376046
Hexadecimal	0x6DFC26

Divisor Catalog (16)

1 2 3 6 9 18 27 54 133,481 266,962 400,443 800,886 1,201,329 2,402,658 3,603,987 7,207,974

Collatz Trajectory (235 steps to reach 1)

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

7,207,974 3,603,987 10,811,962 5,405,981 16,217,944 8,108,972 4,054,486 2,027,243 6,081,730 3,040,865 9,122,596 4,561,298 2,280,649 6,841,948 3,420,974 1,710,487 5,131,462 2,565,731 7,697,194 3,848,597 11,545,792 5,772,896 2,886,448 1,443,224 721,612 360,806 180,403 541,210 270,605 811,816 405,908 202,954 101,477 304,432 152,216 76,108 38,054 19,027 57,082 28,541 85,624 42,812 21,406 10,703 32,110 16,055 48,166 24,083 72,250 36,125 108,376 54,188 27,094 13,547 40,642 20,321 60,964 30,482 15,241 45,724

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