λ
Harmonic Matrix

6,476,479

163 × 39733
Deficient Odd Composite

6,476,479 has digital root 7. The neighboring primes are 6476471 and 6476497; its proper-divisor sum differs from the starting integer by -6,436,582.

Prime Factor Structure

Factorization String 163 × 39733
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,516,376
Proper Divisor Sum 39,897
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6476471 ← → #6476497

Radix Representation

Decimal 6476479
Binary 11000101101001010111111 (23 bits)
Octal 0o30551277
Hexadecimal 0x62D2BF

Divisor Catalog (4)

1 163 39,733 6,476,479

Collatz Trajectory (209 steps to reach 1)

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

6,476,479 19,429,438 9,714,719 29,144,158 14,572,079 43,716,238 21,858,119 65,574,358 32,787,179 98,361,538 49,180,769 147,542,308 73,771,154 36,885,577 110,656,732 55,328,366 27,664,183 82,992,550 41,496,275 124,488,826 62,244,413 186,733,240 93,366,620 46,683,310 23,341,655 70,024,966 35,012,483 105,037,450 52,518,725 157,556,176 78,778,088 39,389,044 19,694,522 9,847,261 29,541,784 14,770,892 7,385,446 3,692,723 11,078,170 5,539,085 16,617,256 8,308,628 4,154,314 2,077,157 6,231,472 3,115,736 1,557,868 778,934 389,467 1,168,402 584,201 1,752,604 876,302 438,151 1,314,454 657,227 1,971,682 985,841 2,957,524 1,478,762

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