10,072,647

3³ × 13 × 28697

10,072,647 factors as 3^3 × 13 × 28697. Its 16 positive divisors give a proper-divisor sum of 5,998,233, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 3^3 × 13 × 28697

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,070,880

Proper Divisor Sum 5,998,233

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #10072639 ← → #10072663

Radix Representation

Decimal	10072647
Binary	100110011011001001000111 (24 bits)
Octal	0o46331107
Hexadecimal	0x99B247

Divisor Catalog (16)

1 3 9 13 27 39 117 351 28,697 86,091 258,273 373,061 774,819 1,119,183 3,357,549 10,072,647

Collatz Trajectory (114 steps to reach 1)

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

10,072,647 30,217,942 15,108,971 45,326,914 22,663,457 67,990,372 33,995,186 16,997,593 50,992,780 25,496,390 12,748,195 38,244,586 19,122,293 57,366,880 28,683,440 14,341,720 7,170,860 3,585,430 1,792,715 5,378,146 2,689,073 8,067,220 4,033,610 2,016,805 6,050,416 3,025,208 1,512,604 756,302 378,151 1,134,454 567,227 1,701,682 850,841 2,552,524 1,276,262 638,131 1,914,394 957,197 2,871,592 1,435,796 717,898 358,949 1,076,848 538,424 269,212 134,606 67,303 201,910 100,955 302,866 151,433 454,300 227,150 113,575 340,726 170,363 511,090 255,545 766,636 383,318

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