λ
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Atlas › Integer Profiles › Node 10,707,086

10,707,086

2 × 13 × 43 × 61 × 157
Deficient Even Composite

10,707,086 factors as 2 × 13 × 43 × 61 × 157. Its 32 positive divisors give a proper-divisor sum of 7,395,922, so this integer is deficient. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2 × 13 × 43 × 61 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,103,008
Proper Divisor Sum 7,395,922
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #10707079 ← → #10707091

Radix Representation

Decimal 10707086
Binary 101000110110000010001110 (24 bits)
Octal 0o50660216
Hexadecimal 0xA3608E

Divisor Catalog (32)

1 2 13 26 43 61 86 122 157 314 559 793 1,118 1,586 2,041 2,623 4,082 5,246 6,751 9,577 13,502 19,154 34,099 68,198 87,763 124,501 175,526 249,002 411,811 823,622 5,353,543 10,707,086

Collatz Trajectory (127 steps to reach 1)

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

10,707,086 5,353,543 16,060,630 8,030,315 24,090,946 12,045,473 36,136,420 18,068,210 9,034,105 27,102,316 13,551,158 6,775,579 20,326,738 10,163,369 30,490,108 15,245,054 7,622,527 22,867,582 11,433,791 34,301,374 17,150,687 51,452,062 25,726,031 77,178,094 38,589,047 115,767,142 57,883,571 173,650,714 86,825,357 260,476,072 130,238,036 65,119,018 32,559,509 97,678,528 48,839,264 24,419,632 12,209,816 6,104,908 3,052,454 1,526,227 4,578,682 2,289,341 6,868,024 3,434,012 1,717,006 858,503 2,575,510 1,287,755 3,863,266 1,931,633 5,794,900 2,897,450 1,448,725 4,346,176 2,173,088 1,086,544 543,272 271,636 135,818 67,909

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