1,367,080

2³ × 5 × 11 × 13 × 239

1,367,080 factors as 2^3 × 5 × 11 × 13 × 239. Its 64 positive divisors give a proper-divisor sum of 2,261,720, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 13 × 239

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 3,628,800

Proper Divisor Sum 2,261,720

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #1367077 ← → #1367087

Radix Representation

Decimal	1367080
Binary	101001101110000101000 (21 bits)
Octal	0o5156050
Hexadecimal	0x14DC28

Divisor Catalog (60 of 64)

1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 239 260 286 440 478 520 572 715 956 1,144 1,195 1,430 1,912 2,390 2,629 2,860 3,107 4,780 5,258 5,720 6,214 9,560 10,516 12,428 13,145 15,535 21,032 24,856 26,290 31,070 34,177 52,580 62,140 68,354 105,160 124,280 136,708 170,885

Collatz Trajectory (106 steps to reach 1)

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

1,367,080 683,540 341,770 170,885 512,656 256,328 128,164 64,082 32,041 96,124 48,062 24,031 72,094 36,047 108,142 54,071 162,214 81,107 243,322 121,661 364,984 182,492 91,246 45,623 136,870 68,435 205,306 102,653 307,960 153,980 76,990 38,495 115,486 57,743 173,230 86,615 259,846 129,923 389,770 194,885 584,656 292,328 146,164 73,082 36,541 109,624 54,812 27,406 13,703 41,110 20,555 61,666 30,833 92,500 46,250 23,125 69,376 34,688 17,344 8,672

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