λ
Harmonic Matrix

471,321

32 × 52369
Deficient Odd Composite

471,321 has digital root 9. The neighboring primes are 471313 and 471353; its proper-divisor sum differs from the starting integer by -261,832.

Prime Factor Structure

Factorization String 3^2 × 52369
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 680,810
Proper Divisor Sum 209,489
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #471313 ← → #471353

Radix Representation

Decimal 471321
Binary 1110011000100011001 (19 bits)
Octal 0o1630431
Hexadecimal 0x73119

Divisor Catalog (6)

1 3 9 52,369 157,107 471,321

Collatz Trajectory (200 steps to reach 1)

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

471,321 1,413,964 706,982 353,491 1,060,474 530,237 1,590,712 795,356 397,678 198,839 596,518 298,259 894,778 447,389 1,342,168 671,084 335,542 167,771 503,314 251,657 754,972 377,486 188,743 566,230 283,115 849,346 424,673 1,274,020 637,010 318,505 955,516 477,758 238,879 716,638 358,319 1,074,958 537,479 1,612,438 806,219 2,418,658 1,209,329 3,627,988 1,813,994 906,997 2,720,992 1,360,496 680,248 340,124 170,062 85,031 255,094 127,547 382,642 191,321 573,964 286,982 143,491 430,474 215,237 645,712

More profiles

← Previous Integer #471,320 Browse Full Index Next Integer #471,322 →