10,072,269

3⁴ × 124349

10,072,269 factors as 3^4 × 124349. Its 10 positive divisors give a proper-divisor sum of 4,974,081, so this integer is deficient. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 3^4 × 124349

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 15,046,350

Proper Divisor Sum 4,974,081

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #10072247 ← → #10072289

Radix Representation

Decimal	10072269
Binary	100110011011000011001101 (24 bits)
Octal	0o46330315
Hexadecimal	0x99B0CD

Divisor Catalog (10)

1 3 9 27 81 124,349 373,047 1,119,141 3,357,423 10,072,269

Collatz Trajectory (158 steps to reach 1)

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

10,072,269 30,216,808 15,108,404 7,554,202 3,777,101 11,331,304 5,665,652 2,832,826 1,416,413 4,249,240 2,124,620 1,062,310 531,155 1,593,466 796,733 2,390,200 1,195,100 597,550 298,775 896,326 448,163 1,344,490 672,245 2,016,736 1,008,368 504,184 252,092 126,046 63,023 189,070 94,535 283,606 141,803 425,410 212,705 638,116 319,058 159,529 478,588 239,294 119,647 358,942 179,471 538,414 269,207 807,622 403,811 1,211,434 605,717 1,817,152 908,576 454,288 227,144 113,572 56,786 28,393 85,180 42,590 21,295 63,886

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