λ
Harmonic Matrix

4,821,867

32 × 61 × 8783
Deficient Odd Composite

4,821,867 has digital root 9. The neighboring primes are 4821853 and 4821889; its proper-divisor sum differs from the starting integer by -2,563,830.

Prime Factor Structure

Factorization String 3^2 × 61 × 8783
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,079,904
Proper Divisor Sum 2,258,037
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4821853 ← → #4821889

Radix Representation

Decimal 4821867
Binary 10010011001001101101011 (23 bits)
Octal 0o22311553
Hexadecimal 0x49936B

Divisor Catalog (12)

1 3 9 61 183 549 8,783 26,349 79,047 535,763 1,607,289 4,821,867

Collatz Trajectory (237 steps to reach 1)

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

4,821,867 14,465,602 7,232,801 21,698,404 10,849,202 5,424,601 16,273,804 8,136,902 4,068,451 12,205,354 6,102,677 18,308,032 9,154,016 4,577,008 2,288,504 1,144,252 572,126 286,063 858,190 429,095 1,287,286 643,643 1,930,930 965,465 2,896,396 1,448,198 724,099 2,172,298 1,086,149 3,258,448 1,629,224 814,612 407,306 203,653 610,960 305,480 152,740 76,370 38,185 114,556 57,278 28,639 85,918 42,959 128,878 64,439 193,318 96,659 289,978 144,989 434,968 217,484 108,742 54,371 163,114 81,557 244,672 122,336 61,168 30,584

More profiles

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