λ
Zalai Atlas

3,214,620

22 × 33 × 5 × 5953
Abundant Even Composite

3,214,620 has the prime decomposition 2^2 × 3^3 × 5 × 5953. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 5953
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,002,720
Proper Divisor Sum 6,788,100
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3214619 ← → #3214633

Radix Representation

Decimal 3214620
Binary 1100010000110100011100 (22 bits)
Octal 0o14206434
Hexadecimal 0x310D1C

Divisor Catalog (48)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 5,953 11,906 17,859 23,812 29,765 35,718 53,577 59,530 71,436 89,295 107,154 119,060 160,731 178,590 214,308 267,885 321,462 357,180 535,770 642,924 803,655 1,071,540 1,607,310 3,214,620

Collatz Trajectory (146 steps to reach 1)

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

3,214,620 1,607,310 803,655 2,410,966 1,205,483 3,616,450 1,808,225 5,424,676 2,712,338 1,356,169 4,068,508 2,034,254 1,017,127 3,051,382 1,525,691 4,577,074 2,288,537 6,865,612 3,432,806 1,716,403 5,149,210 2,574,605 7,723,816 3,861,908 1,930,954 965,477 2,896,432 1,448,216 724,108 362,054 181,027 543,082 271,541 814,624 407,312 203,656 101,828 50,914 25,457 76,372 38,186 19,093 57,280 28,640 14,320 7,160 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410

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