λ
Harmonic Matrix

4,660,261

17 × 31 × 37 × 239
Deficient Odd Composite

4,660,261 has digital root 7. The neighboring primes are 4660259 and 4660267; its proper-divisor sum differs from the starting integer by -4,067,402.

Prime Factor Structure

Factorization String 17 × 31 × 37 × 239
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,253,120
Proper Divisor Sum 592,859
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4660259 ← → #4660267

Radix Representation

Decimal 4660261
Binary 10001110001110000100101 (23 bits)
Octal 0o21616045
Hexadecimal 0x471C25

Divisor Catalog (16)

1 17 31 37 239 527 629 1,147 4,063 7,409 8,843 19,499 125,953 150,331 274,133 4,660,261

Collatz Trajectory (255 steps to reach 1)

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

4,660,261 13,980,784 6,990,392 3,495,196 1,747,598 873,799 2,621,398 1,310,699 3,932,098 1,966,049 5,898,148 2,949,074 1,474,537 4,423,612 2,211,806 1,105,903 3,317,710 1,658,855 4,976,566 2,488,283 7,464,850 3,732,425 11,197,276 5,598,638 2,799,319 8,397,958 4,198,979 12,596,938 6,298,469 18,895,408 9,447,704 4,723,852 2,361,926 1,180,963 3,542,890 1,771,445 5,314,336 2,657,168 1,328,584 664,292 332,146 166,073 498,220 249,110 124,555 373,666 186,833 560,500 280,250 140,125 420,376 210,188 105,094 52,547 157,642 78,821 236,464 118,232 59,116 29,558

More profiles

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