2,470,080

2⁶ × 3 × 5 × 31 × 83

2,470,080 factors as 2^6 × 3 × 5 × 31 × 83. Its 112 positive divisors give a proper-divisor sum of 5,722,944, so this integer is abundant. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 31 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 8,193,024

Proper Divisor Sum 5,722,944

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2470079 ← → #2470099

Radix Representation

Decimal	2470080
Binary	1001011011000011000000 (22 bits)
Octal	0o11330300
Hexadecimal	0x25B0C0

Divisor Catalog (60 of 112)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 83 93 96 120 124 155 160 166 186 192 240 248 249 310 320 332 372 415 465 480 496 498 620 664 744 830 930 960 992 996 1,240 1,245 1,328 1,488 1,660 1,860 1,984 1,992

Collatz Trajectory (218 steps to reach 1)

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

2,470,080 1,235,040 617,520 308,760 154,380 77,190 38,595 115,786 57,893 173,680 86,840 43,420 21,710 10,855 32,566 16,283 48,850 24,425 73,276 36,638 18,319 54,958 27,479 82,438 41,219 123,658 61,829 185,488 92,744 46,372 23,186 11,593 34,780 17,390 8,695 26,086 13,043 39,130 19,565 58,696 29,348 14,674 7,337 22,012 11,006 5,503 16,510 8,255 24,766 12,383 37,150 18,575 55,726 27,863 83,590 41,795 125,386 62,693 188,080 94,040

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