λ
Harmonic Matrix

5,760,263

17 × 338839
Deficient Odd Composite

5,760,263 has digital root 2. The neighboring primes are 5760259 and 5760269; its proper-divisor sum differs from the starting integer by -5,421,406.

Prime Factor Structure

Factorization String 17 × 338839
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,099,120
Proper Divisor Sum 338,857
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5760259 ← → #5760269

Radix Representation

Decimal 5760263
Binary 10101111110010100000111 (23 bits)
Octal 0o25762407
Hexadecimal 0x57E507

Divisor Catalog (4)

1 17 338,839 5,760,263

Collatz Trajectory (121 steps to reach 1)

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

5,760,263 17,280,790 8,640,395 25,921,186 12,960,593 38,881,780 19,440,890 9,720,445 29,161,336 14,580,668 7,290,334 3,645,167 10,935,502 5,467,751 16,403,254 8,201,627 24,604,882 12,302,441 36,907,324 18,453,662 9,226,831 27,680,494 13,840,247 41,520,742 20,760,371 62,281,114 31,140,557 93,421,672 46,710,836 23,355,418 11,677,709 35,033,128 17,516,564 8,758,282 4,379,141 13,137,424 6,568,712 3,284,356 1,642,178 821,089 2,463,268 1,231,634 615,817 1,847,452 923,726 461,863 1,385,590 692,795 2,078,386 1,039,193 3,117,580 1,558,790 779,395 2,338,186 1,169,093 3,507,280 1,753,640 876,820 438,410 219,205

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