10,229,401

7 × 13² × 8647

10,229,401 factors as 7 × 13^2 × 8647. Its 12 positive divisors give a proper-divisor sum of 2,431,271, so this integer is deficient. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 7 × 13^2 × 8647

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,660,672

Proper Divisor Sum 2,431,271

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #10229369 ← → #10229413

Radix Representation

Decimal	10229401
Binary	100111000001011010011001 (24 bits)
Octal	0o47013231
Hexadecimal	0x9C1699

Divisor Catalog (12)

1 7 13 91 169 1,183 8,647 60,529 112,411 786,877 1,461,343 10,229,401

Collatz Trajectory (251 steps to reach 1)

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

10,229,401 30,688,204 15,344,102 7,672,051 23,016,154 11,508,077 34,524,232 17,262,116 8,631,058 4,315,529 12,946,588 6,473,294 3,236,647 9,709,942 4,854,971 14,564,914 7,282,457 21,847,372 10,923,686 5,461,843 16,385,530 8,192,765 24,578,296 12,289,148 6,144,574 3,072,287 9,216,862 4,608,431 13,825,294 6,912,647 20,737,942 10,368,971 31,106,914 15,553,457 46,660,372 23,330,186 11,665,093 34,995,280 17,497,640 8,748,820 4,374,410 2,187,205 6,561,616 3,280,808 1,640,404 820,202 410,101 1,230,304 615,152 307,576 153,788 76,894 38,447 115,342 57,671 173,014 86,507 259,522 129,761 389,284

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