1,407,960

2³ × 3² × 5 × 3911

1,407,960 is even and not a perfect square. Its factorization is 2^3 × 3^2 × 5 × 3911 and its 48 divisors sum to 4,577,040.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 3911

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 4,577,040

Proper Divisor Sum 3,169,080

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1407937 ← → #1407971

Radix Representation

Decimal	1407960
Binary	101010111101111011000 (21 bits)
Octal	0o5275730
Hexadecimal	0x157BD8

Divisor Catalog (48)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3,911 7,822 11,733 15,644 19,555 23,466 31,288 35,199 39,110 46,932 58,665 70,398 78,220 93,864 117,330 140,796 156,440 175,995 234,660 281,592 351,990 469,320 703,980 1,407,960

Collatz Trajectory (75 steps to reach 1)

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

1,407,960 703,980 351,990 175,995 527,986 263,993 791,980 395,990 197,995 593,986 296,993 890,980 445,490 222,745 668,236 334,118 167,059 501,178 250,589 751,768 375,884 187,942 93,971 281,914 140,957 422,872 211,436 105,718 52,859 158,578 79,289 237,868 118,934 59,467 178,402 89,201 267,604 133,802 66,901 200,704 100,352 50,176 25,088 12,544 6,272 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7

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