λ
Harmonic Matrix

5,315,792

24 × 89 × 3733
Deficient Even Composite

5,315,792 has digital root 5. The neighboring primes are 5315767 and 5315797; its proper-divisor sum differs from the starting integer by -213,724.

Prime Factor Structure

Factorization String 2^4 × 89 × 3733
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 10,417,860
Proper Divisor Sum 5,102,068
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5315767 ← → #5315797

Radix Representation

Decimal 5315792
Binary 10100010001110011010000 (23 bits)
Octal 0o24216320
Hexadecimal 0x511CD0

Divisor Catalog (20)

1 2 4 8 16 89 178 356 712 1,424 3,733 7,466 14,932 29,864 59,728 332,237 664,474 1,328,948 2,657,896 5,315,792

Collatz Trajectory (118 steps to reach 1)

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

5,315,792 2,657,896 1,328,948 664,474 332,237 996,712 498,356 249,178 124,589 373,768 186,884 93,442 46,721 140,164 70,082 35,041 105,124 52,562 26,281 78,844 39,422 19,711 59,134 29,567 88,702 44,351 133,054 66,527 199,582 99,791 299,374 149,687 449,062 224,531 673,594 336,797 1,010,392 505,196 252,598 126,299 378,898 189,449 568,348 284,174 142,087 426,262 213,131 639,394 319,697 959,092 479,546 239,773 719,320 359,660 179,830 89,915 269,746 134,873 404,620 202,310

More profiles

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