λ
Harmonic Matrix

4,843,162

2 × 47 × 67 × 769
Deficient Even Composite

4,843,162 has digital root 1. The neighboring primes are 4843151 and 4843171; its proper-divisor sum differs from the starting integer by -2,146,484.

Prime Factor Structure

Factorization String 2 × 47 × 67 × 769
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,539,840
Proper Divisor Sum 2,696,678
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4843151 ← → #4843171

Radix Representation

Decimal 4843162
Binary 10010011110011010011010 (23 bits)
Octal 0o22363232
Hexadecimal 0x49E69A

Divisor Catalog (16)

1 2 47 67 94 134 769 1,538 3,149 6,298 36,143 51,523 72,286 103,046 2,421,581 4,843,162

Collatz Trajectory (299 steps to reach 1)

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

4,843,162 2,421,581 7,264,744 3,632,372 1,816,186 908,093 2,724,280 1,362,140 681,070 340,535 1,021,606 510,803 1,532,410 766,205 2,298,616 1,149,308 574,654 287,327 861,982 430,991 1,292,974 646,487 1,939,462 969,731 2,909,194 1,454,597 4,363,792 2,181,896 1,090,948 545,474 272,737 818,212 409,106 204,553 613,660 306,830 153,415 460,246 230,123 690,370 345,185 1,035,556 517,778 258,889 776,668 388,334 194,167 582,502 291,251 873,754 436,877 1,310,632 655,316 327,658 163,829 491,488 245,744 122,872 61,436 30,718

More profiles

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