λ
Harmonic Matrix

5,387,149

31 × 173779
Deficient Odd Composite

5,387,149 has digital root 1. The neighboring primes are 5387143 and 5387153; its proper-divisor sum differs from the starting integer by -5,213,338.

Prime Factor Structure

Factorization String 31 × 173779
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,560,960
Proper Divisor Sum 173,811
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5387143 ← → #5387153

Radix Representation

Decimal 5387149
Binary 10100100011001110001101 (23 bits)
Octal 0o24431615
Hexadecimal 0x52338D

Divisor Catalog (4)

1 31 173,779 5,387,149

Collatz Trajectory (113 steps to reach 1)

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

5,387,149 16,161,448 8,080,724 4,040,362 2,020,181 6,060,544 3,030,272 1,515,136 757,568 378,784 189,392 94,696 47,348 23,674 11,837 35,512 17,756 8,878 4,439 13,318 6,659 19,978 9,989 29,968 14,984 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958

More profiles

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