λ
Harmonic Matrix

1,053,740

22 × 5 × 19 × 47 × 59
Abundant Even Composite

1,053,740 has digital root 2. The neighboring primes are 1053739 and 1053749; its proper-divisor sum differs from the starting integer by 311,720.

Prime Factor Structure

Factorization String 2^2 × 5 × 19 × 47 × 59
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,419,200
Proper Divisor Sum 1,365,460
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1053739 ← → #1053749

Radix Representation

Decimal 1053740
Binary 100000001010000101100 (21 bits)
Octal 0o4012054
Hexadecimal 0x10142C

Divisor Catalog (48)

1 2 4 5 10 19 20 38 47 59 76 94 95 118 188 190 235 236 295 380 470 590 893 940 1,121 1,180 1,786 2,242 2,773 3,572 4,465 4,484 5,546 5,605 8,930 11,092 11,210 13,865 17,860 22,420 27,730 52,687 55,460 105,374 210,748 263,435 526,870 1,053,740

Collatz Trajectory (152 steps to reach 1)

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

1,053,740 526,870 263,435 790,306 395,153 1,185,460 592,730 296,365 889,096 444,548 222,274 111,137 333,412 166,706 83,353 250,060 125,030 62,515 187,546 93,773 281,320 140,660 70,330 35,165 105,496 52,748 26,374 13,187 39,562 19,781 59,344 29,672 14,836 7,418 3,709 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694

More profiles

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