λ
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Atlas › Integer Profiles › Node 10,072,330

10,072,330

2 × 5 × 17 × 179 × 331
Deficient Even Composite

10,072,330 factors as 2 × 5 × 17 × 179 × 331. Its 32 positive divisors give a proper-divisor sum of 9,289,910, so this integer is deficient. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 179 × 331
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,362,240
Proper Divisor Sum 9,289,910
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #10072327 ← → #10072339

Radix Representation

Decimal 10072330
Binary 100110011011000100001010 (24 bits)
Octal 0o46330412
Hexadecimal 0x99B10A

Divisor Catalog (32)

1 2 5 10 17 34 85 170 179 331 358 662 895 1,655 1,790 3,043 3,310 5,627 6,086 11,254 15,215 28,135 30,430 56,270 59,249 118,498 296,245 592,490 1,007,233 2,014,466 5,036,165 10,072,330

Collatz Trajectory (158 steps to reach 1)

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

10,072,330 5,036,165 15,108,496 7,554,248 3,777,124 1,888,562 944,281 2,832,844 1,416,422 708,211 2,124,634 1,062,317 3,186,952 1,593,476 796,738 398,369 1,195,108 597,554 298,777 896,332 448,166 224,083 672,250 336,125 1,008,376 504,188 252,094 126,047 378,142 189,071 567,214 283,607 850,822 425,411 1,276,234 638,117 1,914,352 957,176 478,588 239,294 119,647 358,942 179,471 538,414 269,207 807,622 403,811 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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