λ
Harmonic Matrix

4,770,467

13 × 67 × 5477
Deficient Odd Composite

4,770,467 has digital root 8. The neighboring primes are 4770449 and 4770487; its proper-divisor sum differs from the starting integer by -4,325,878.

Prime Factor Structure

Factorization String 13 × 67 × 5477
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,215,056
Proper Divisor Sum 444,589
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4770449 ← → #4770487

Radix Representation

Decimal 4770467
Binary 10010001100101010100011 (23 bits)
Octal 0o22145243
Hexadecimal 0x48CAA3

Divisor Catalog (8)

1 13 67 871 5,477 71,201 366,959 4,770,467

Collatz Trajectory (224 steps to reach 1)

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

4,770,467 14,311,402 7,155,701 21,467,104 10,733,552 5,366,776 2,683,388 1,341,694 670,847 2,012,542 1,006,271 3,018,814 1,509,407 4,528,222 2,264,111 6,792,334 3,396,167 10,188,502 5,094,251 15,282,754 7,641,377 22,924,132 11,462,066 5,731,033 17,193,100 8,596,550 4,298,275 12,894,826 6,447,413 19,342,240 9,671,120 4,835,560 2,417,780 1,208,890 604,445 1,813,336 906,668 453,334 226,667 680,002 340,001 1,020,004 510,002 255,001 765,004 382,502 191,251 573,754 286,877 860,632 430,316 215,158 107,579 322,738 161,369 484,108 242,054 121,027 363,082 181,541

More profiles

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