13,970,320

2⁴ × 5 × 7 × 13 × 19 × 101

13,970,320 factors as 2^4 × 5 × 7 × 13 × 19 × 101. Its 160 positive divisors give a proper-divisor sum of 28,526,960, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 13 × 19 × 101

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 42,497,280

Proper Divisor Sum 28,526,960

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #13970309 ← → #13970347

Radix Representation

Decimal	13970320
Binary	110101010010101110010000 (24 bits)
Octal	0o65225620
Hexadecimal	0xD52B90

Divisor Catalog (60 of 160)

1 2 4 5 7 8 10 13 14 16 19 20 26 28 35 38 40 52 56 65 70 76 80 91 95 101 104 112 130 133 140 152 182 190 202 208 247 260 266 280 304 364 380 404 455 494 505 520 532 560 665 707 728 760 808 910 988 1,010 1,040 1,064

Collatz Trajectory (86 steps to reach 1)

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

13,970,320 6,985,160 3,492,580 1,746,290 873,145 2,619,436 1,309,718 654,859 1,964,578 982,289 2,946,868 1,473,434 736,717 2,210,152 1,105,076 552,538 276,269 828,808 414,404 207,202 103,601 310,804 155,402 77,701 233,104 116,552 58,276 29,138 14,569 43,708 21,854 10,927 32,782 16,391 49,174 24,587 73,762 36,881 110,644 55,322 27,661 82,984 41,492 20,746 10,373 31,120 15,560 7,780 3,890 1,945 5,836 2,918 1,459 4,378 2,189 6,568 3,284 1,642 821 2,464

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