λ
Harmonic Matrix

1,084,240

24 × 5 × 13553
Abundant Even Composite

1,084,240 has digital root 1. The neighboring primes are 1084219 and 1084247; its proper-divisor sum differs from the starting integer by 352,564.

Prime Factor Structure

Factorization String 2^4 × 5 × 13553
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 2,521,044
Proper Divisor Sum 1,436,804
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1084219 ← → #1084247

Radix Representation

Decimal 1084240
Binary 100001000101101010000 (21 bits)
Octal 0o4105520
Hexadecimal 0x108B50

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 13,553 27,106 54,212 67,765 108,424 135,530 216,848 271,060 542,120 1,084,240

Collatz Trajectory (64 steps to reach 1)

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

1,084,240 542,120 271,060 135,530 67,765 203,296 101,648 50,824 25,412 12,706 6,353 19,060 9,530 4,765 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32

More profiles

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