λ
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Atlas › Integer Profiles › Node 15,295,966

15,295,966

2 × 7 × 23 × 67 × 709
Deficient Even Composite

15,295,966 factors as 2 × 7 × 23 × 67 × 709. Its 32 positive divisors give a proper-divisor sum of 12,513,314, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2 × 7 × 23 × 67 × 709
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 27,809,280
Proper Divisor Sum 12,513,314
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #15295961 ← → #15295967

Radix Representation

Decimal 15295966
Binary 111010010110010111011110 (24 bits)
Octal 0o72262736
Hexadecimal 0xE965DE

Divisor Catalog (32)

1 2 7 14 23 46 67 134 161 322 469 709 938 1,418 1,541 3,082 4,963 9,926 10,787 16,307 21,574 32,614 47,503 95,006 114,149 228,298 332,521 665,042 1,092,569 2,185,138 7,647,983 15,295,966

Collatz Trajectory (161 steps to reach 1)

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

15,295,966 7,647,983 22,943,950 11,471,975 34,415,926 17,207,963 51,623,890 25,811,945 77,435,836 38,717,918 19,358,959 58,076,878 29,038,439 87,115,318 43,557,659 130,672,978 65,336,489 196,009,468 98,004,734 49,002,367 147,007,102 73,503,551 220,510,654 110,255,327 330,765,982 165,382,991 496,148,974 248,074,487 744,223,462 372,111,731 1,116,335,194 558,167,597 1,674,502,792 837,251,396 418,625,698 209,312,849 627,938,548 313,969,274 156,984,637 470,953,912 235,476,956 117,738,478 58,869,239 176,607,718 88,303,859 264,911,578 132,455,789 397,367,368 198,683,684 99,341,842 49,670,921 149,012,764 74,506,382 37,253,191 111,759,574 55,879,787 167,639,362 83,819,681 251,459,044 125,729,522

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