λ
Harmonic Matrix

1,464,940

22 × 5 × 89 × 823
Abundant Even Composite

1,464,940 has digital root 1. The neighboring primes are 1464929 and 1464949; its proper-divisor sum differs from the starting integer by 184,840.

Prime Factor Structure

Factorization String 2^2 × 5 × 89 × 823
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,114,720
Proper Divisor Sum 1,649,780
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1464929 ← → #1464949

Radix Representation

Decimal 1464940
Binary 101100101101001101100 (21 bits)
Octal 0o5455154
Hexadecimal 0x165A6C

Divisor Catalog (24)

1 2 4 5 10 20 89 178 356 445 823 890 1,646 1,780 3,292 4,115 8,230 16,460 73,247 146,494 292,988 366,235 732,470 1,464,940

Collatz Trajectory (119 steps to reach 1)

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

1,464,940 732,470 366,235 1,098,706 549,353 1,648,060 824,030 412,015 1,236,046 618,023 1,854,070 927,035 2,781,106 1,390,553 4,171,660 2,085,830 1,042,915 3,128,746 1,564,373 4,693,120 2,346,560 1,173,280 586,640 293,320 146,660 73,330 36,665 109,996 54,998 27,499 82,498 41,249 123,748 61,874 30,937 92,812 46,406 23,203 69,610 34,805 104,416 52,208 26,104 13,052 6,526 3,263 9,790 4,895 14,686 7,343 22,030 11,015 33,046 16,523 49,570 24,785 74,356 37,178 18,589 55,768

More profiles

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