λ
Harmonic Matrix

5,403,096

23 × 32 × 101 × 743
Abundant Even Composite

5,403,096 has digital root 9. The neighboring primes are 5403089 and 5403107; its proper-divisor sum differs from the starting integer by 3,991,968.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 101 × 743
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,798,160
Proper Divisor Sum 9,395,064
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5403089 ← → #5403107

Radix Representation

Decimal 5403096
Binary 10100100111000111011000 (23 bits)
Octal 0o24470730
Hexadecimal 0x5271D8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 743 808 909 1,212 1,486 1,818 2,229 2,424 2,972 3,636 4,458 5,944 6,687 7,272 8,916 13,374 17,832 26,748 53,496 75,043 150,086 225,129 300,172 450,258 600,344 675,387 900,516 1,350,774 1,801,032 2,701,548 5,403,096

Collatz Trajectory (113 steps to reach 1)

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

5,403,096 2,701,548 1,350,774 675,387 2,026,162 1,013,081 3,039,244 1,519,622 759,811 2,279,434 1,139,717 3,419,152 1,709,576 854,788 427,394 213,697 641,092 320,546 160,273 480,820 240,410 120,205 360,616 180,308 90,154 45,077 135,232 67,616 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958

More profiles

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