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Atlas › Integer Profiles › Node 3,122,480

3,122,480

24 × 5 × 23 × 1697
Abundant Even Composite

3,122,480 factors as 2^4 × 5 × 23 × 1697. Its 40 positive divisors give a proper-divisor sum of 4,457,392, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 23 × 1697
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,579,872
Proper Divisor Sum 4,457,392
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3122473 ← → #3122489

Radix Representation

Decimal 3122480
Binary 1011111010010100110000 (22 bits)
Octal 0o13722460
Hexadecimal 0x2FA530

Divisor Catalog (40)

1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1,697 1,840 3,394 6,788 8,485 13,576 16,970 27,152 33,940 39,031 67,880 78,062 135,760 156,124 195,155 312,248 390,310 624,496 780,620 1,561,240 3,122,480

Collatz Trajectory (133 steps to reach 1)

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

3,122,480 1,561,240 780,620 390,310 195,155 585,466 292,733 878,200 439,100 219,550 109,775 329,326 164,663 493,990 246,995 740,986 370,493 1,111,480 555,740 277,870 138,935 416,806 208,403 625,210 312,605 937,816 468,908 234,454 117,227 351,682 175,841 527,524 263,762 131,881 395,644 197,822 98,911 296,734 148,367 445,102 222,551 667,654 333,827 1,001,482 500,741 1,502,224 751,112 375,556 187,778 93,889 281,668 140,834 70,417 211,252 105,626 52,813 158,440 79,220 39,610 19,805

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