15,206,962

2 × 29² × 9041

15,206,962 factors as 2 × 29^2 × 9041. Its 12 positive divisors give a proper-divisor sum of 8,419,784, so this integer is deficient. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2 × 29^2 × 9041

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 23,626,746

Proper Divisor Sum 8,419,784

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #15206953 ← → #15206987

Radix Representation

Decimal	15206962
Binary	111010000000101000110010 (24 bits)
Octal	0o72005062
Hexadecimal	0xE80A32

Divisor Catalog (12)

1 2 29 58 841 1,682 9,041 18,082 262,189 524,378 7,603,481 15,206,962

Collatz Trajectory (156 steps to reach 1)

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

15,206,962 7,603,481 22,810,444 11,405,222 5,702,611 17,107,834 8,553,917 25,661,752 12,830,876 6,415,438 3,207,719 9,623,158 4,811,579 14,434,738 7,217,369 21,652,108 10,826,054 5,413,027 16,239,082 8,119,541 24,358,624 12,179,312 6,089,656 3,044,828 1,522,414 761,207 2,283,622 1,141,811 3,425,434 1,712,717 5,138,152 2,569,076 1,284,538 642,269 1,926,808 963,404 481,702 240,851 722,554 361,277 1,083,832 541,916 270,958 135,479 406,438 203,219 609,658 304,829 914,488 457,244 228,622 114,311 342,934 171,467 514,402 257,201 771,604 385,802 192,901 578,704

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