λ
Harmonic Matrix

5,377,105

5 × 31 × 113 × 307
Deficient Odd Composite

5,377,105 has digital root 1. The neighboring primes are 5377103 and 5377111; its proper-divisor sum differs from the starting integer by -4,012,706.

Prime Factor Structure

Factorization String 5 × 31 × 113 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,741,504
Proper Divisor Sum 1,364,399
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5377103 ← → #5377111

Radix Representation

Decimal 5377105
Binary 10100100000110001010001 (23 bits)
Octal 0o24406121
Hexadecimal 0x520C51

Divisor Catalog (16)

1 5 31 113 155 307 565 1,535 3,503 9,517 17,515 34,691 47,585 173,455 1,075,421 5,377,105

Collatz Trajectory (263 steps to reach 1)

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

5,377,105 16,131,316 8,065,658 4,032,829 12,098,488 6,049,244 3,024,622 1,512,311 4,536,934 2,268,467 6,805,402 3,402,701 10,208,104 5,104,052 2,552,026 1,276,013 3,828,040 1,914,020 957,010 478,505 1,435,516 717,758 358,879 1,076,638 538,319 1,614,958 807,479 2,422,438 1,211,219 3,633,658 1,816,829 5,450,488 2,725,244 1,362,622 681,311 2,043,934 1,021,967 3,065,902 1,532,951 4,598,854 2,299,427 6,898,282 3,449,141 10,347,424 5,173,712 2,586,856 1,293,428 646,714 323,357 970,072 485,036 242,518 121,259 363,778 181,889 545,668 272,834 136,417 409,252 204,626

More profiles

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