1,313,760

2⁵ × 3 × 5 × 7 × 17 × 23

1,313,760 is even and not a perfect square. Its factorization is 2^5 × 3 × 5 × 7 × 17 × 23 and its 192 divisors sum to 5,225,472.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 7 × 17 × 23

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 5,225,472

Proper Divisor Sum 3,911,712

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1313747 ← → #1313761

Radix Representation

Decimal	1313760
Binary	101000000101111100000 (21 bits)
Octal	0o5005740
Hexadecimal	0x140BE0

Divisor Catalog (60 of 192)

1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 23 24 28 30 32 34 35 40 42 46 48 51 56 60 68 69 70 80 84 85 92 96 102 105 112 115 119 120 136 138 140 160 161 168 170 184 204 210 224 230 238 240 255 272

Collatz Trajectory (217 steps to reach 1)

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

1,313,760 656,880 328,440 164,220 82,110 41,055 123,166 61,583 184,750 92,375 277,126 138,563 415,690 207,845 623,536 311,768 155,884 77,942 38,971 116,914 58,457 175,372 87,686 43,843 131,530 65,765 197,296 98,648 49,324 24,662 12,331 36,994 18,497 55,492 27,746 13,873 41,620 20,810 10,405 31,216 15,608 7,804 3,902 1,951 5,854 2,927 8,782 4,391 13,174 6,587 19,762 9,881 29,644 14,822 7,411 22,234 11,117 33,352 16,676 8,338

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