10,226,502

2 × 3² × 11 × 13 × 29 × 137

10,226,502 factors as 2 × 3^2 × 11 × 13 × 29 × 137. Its 96 positive divisors give a proper-divisor sum of 16,898,778, so this integer is abundant. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 13 × 29 × 137

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 27,125,280

Proper Divisor Sum 16,898,778

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #10226501 ← → #10226519

Radix Representation

Decimal	10226502
Binary	100111000000101101000110 (24 bits)
Octal	0o47005506
Hexadecimal	0x9C0B46

Divisor Catalog (60 of 96)

1 2 3 6 9 11 13 18 22 26 29 33 39 58 66 78 87 99 117 137 143 174 198 234 261 274 286 319 377 411 429 522 638 754 822 858 957 1,131 1,233 1,287 1,507 1,781 1,914 2,262 2,466 2,574 2,871 3,014 3,393 3,562 3,973 4,147 4,521 5,343 5,742 6,786 7,946 8,294 9,042 10,686

Collatz Trajectory (220 steps to reach 1)

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

10,226,502 5,113,251 15,339,754 7,669,877 23,009,632 11,504,816 5,752,408 2,876,204 1,438,102 719,051 2,157,154 1,078,577 3,235,732 1,617,866 808,933 2,426,800 1,213,400 606,700 303,350 151,675 455,026 227,513 682,540 341,270 170,635 511,906 255,953 767,860 383,930 191,965 575,896 287,948 143,974 71,987 215,962 107,981 323,944 161,972 80,986 40,493 121,480 60,740 30,370 15,185 45,556 22,778 11,389 34,168 17,084 8,542 4,271 12,814 6,407 19,222 9,611 28,834 14,417 43,252 21,626 10,813

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