λ
Harmonic Matrix

5,732,413

151 × 37963
Deficient Odd Composite

5,732,413 has digital root 7. The neighboring primes are 5732407 and 5732437; its proper-divisor sum differs from the starting integer by -5,694,298.

Prime Factor Structure

Factorization String 151 × 37963
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,770,528
Proper Divisor Sum 38,115
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5732407 ← → #5732437

Radix Representation

Decimal 5732413
Binary 10101110111100000111101 (23 bits)
Octal 0o25674075
Hexadecimal 0x57783D

Divisor Catalog (4)

1 151 37,963 5,732,413

Collatz Trajectory (77 steps to reach 1)

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

5,732,413 17,197,240 8,598,620 4,299,310 2,149,655 6,448,966 3,224,483 9,673,450 4,836,725 14,510,176 7,255,088 3,627,544 1,813,772 906,886 453,443 1,360,330 680,165 2,040,496 1,020,248 510,124 255,062 127,531 382,594 191,297 573,892 286,946 143,473 430,420 215,210 107,605 322,816 161,408 80,704 40,352 20,176 10,088 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29

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