1,440,720

2⁴ × 3³ × 5 × 23 × 29

1,440,720 has the prime decomposition 2^4 × 3^3 × 5 × 23 × 29. Its 5 distinct prime factors produce 160 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 5 × 23 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 5,356,800

Proper Divisor Sum 3,916,080

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1440707 ← → #1440727

Radix Representation

Decimal	1440720
Binary	101011111101111010000 (21 bits)
Octal	0o5375720
Hexadecimal	0x15FBD0

Divisor Catalog (60 of 160)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 29 30 36 40 45 46 48 54 58 60 69 72 80 87 90 92 108 115 116 120 135 138 144 145 174 180 184 207 216 230 232 240 261 270 276 290 345 348 360 368 414 432 435

Collatz Trajectory (168 steps to reach 1)

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

1,440,720 720,360 360,180 180,090 90,045 270,136 135,068 67,534 33,767 101,302 50,651 151,954 75,977 227,932 113,966 56,983 170,950 85,475 256,426 128,213 384,640 192,320 96,160 48,080 24,040 12,020 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152

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