13,867,007

7 × 11 × 73 × 2467

13,867,007 factors as 7 × 11 × 73 × 2467. Its 16 positive divisors give a proper-divisor sum of 3,665,665, so this integer is deficient. The Collatz stopping time is 298 steps.

Prime Factor Structure

Factorization String 7 × 11 × 73 × 2467

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,532,672

Proper Divisor Sum 3,665,665

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #13866977 ← → #13867031

Radix Representation

Decimal	13867007
Binary	110100111001011111111111 (24 bits)
Octal	0o64713777
Hexadecimal	0xD397FF

Divisor Catalog (16)

1 7 11 73 77 511 803 2,467 5,621 17,269 27,137 180,091 189,959 1,260,637 1,981,001 13,867,007

Collatz Trajectory (298 steps to reach 1)

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

13,867,007 41,601,022 20,800,511 62,401,534 31,200,767 93,602,302 46,801,151 140,403,454 70,201,727 210,605,182 105,302,591 315,907,774 157,953,887 473,861,662 236,930,831 710,792,494 355,396,247 1,066,188,742 533,094,371 1,599,283,114 799,641,557 2,398,924,672 1,199,462,336 599,731,168 299,865,584 149,932,792 74,966,396 37,483,198 18,741,599 56,224,798 28,112,399 84,337,198 42,168,599 126,505,798 63,252,899 189,758,698 94,879,349 284,638,048 142,319,024 71,159,512 35,579,756 17,789,878 8,894,939 26,684,818 13,342,409 40,027,228 20,013,614 10,006,807 30,020,422 15,010,211 45,030,634 22,515,317 67,545,952 33,772,976 16,886,488 8,443,244 4,221,622 2,110,811 6,332,434 3,166,217

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