λ
Harmonic Matrix

5,442,408

23 × 32 × 269 × 281
Abundant Even Composite

5,442,408 has digital root 9. The neighboring primes are 5442383 and 5442427; its proper-divisor sum differs from the starting integer by 3,962,484.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 269 × 281
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,847,300
Proper Divisor Sum 9,404,892
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5442383 ← → #5442427

Radix Representation

Decimal 5442408
Binary 10100110000101101101000 (23 bits)
Octal 0o24605550
Hexadecimal 0x530B68

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 269 281 538 562 807 843 1,076 1,124 1,614 1,686 2,152 2,248 2,421 2,529 3,228 3,372 4,842 5,058 6,456 6,744 9,684 10,116 19,368 20,232 75,589 151,178 226,767 302,356 453,534 604,712 680,301 907,068 1,360,602 1,814,136 2,721,204 5,442,408

Collatz Trajectory (250 steps to reach 1)

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

5,442,408 2,721,204 1,360,602 680,301 2,040,904 1,020,452 510,226 255,113 765,340 382,670 191,335 574,006 287,003 861,010 430,505 1,291,516 645,758 322,879 968,638 484,319 1,452,958 726,479 2,179,438 1,089,719 3,269,158 1,634,579 4,903,738 2,451,869 7,355,608 3,677,804 1,838,902 919,451 2,758,354 1,379,177 4,137,532 2,068,766 1,034,383 3,103,150 1,551,575 4,654,726 2,327,363 6,982,090 3,491,045 10,473,136 5,236,568 2,618,284 1,309,142 654,571 1,963,714 981,857 2,945,572 1,472,786 736,393 2,209,180 1,104,590 552,295 1,656,886 828,443 2,485,330 1,242,665

More profiles

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