λ
Harmonic Matrix

4,840,084

22 × 1210021
Deficient Even Composite

4,840,084 has digital root 1. The neighboring primes are 4840049 and 4840103; its proper-divisor sum differs from the starting integer by -1,210,014.

Prime Factor Structure

Factorization String 2^2 × 1210021
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 8,470,154
Proper Divisor Sum 3,630,070
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4840049 ← → #4840103

Radix Representation

Decimal 4840084
Binary 10010011101101010010100 (23 bits)
Octal 0o22355224
Hexadecimal 0x49DA94

Divisor Catalog (6)

1 2 4 1,210,021 2,420,042 4,840,084

Collatz Trajectory (131 steps to reach 1)

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

4,840,084 2,420,042 1,210,021 3,630,064 1,815,032 907,516 453,758 226,879 680,638 340,319 1,020,958 510,479 1,531,438 765,719 2,297,158 1,148,579 3,445,738 1,722,869 5,168,608 2,584,304 1,292,152 646,076 323,038 161,519 484,558 242,279 726,838 363,419 1,090,258 545,129 1,635,388 817,694 408,847 1,226,542 613,271 1,839,814 919,907 2,759,722 1,379,861 4,139,584 2,069,792 1,034,896 517,448 258,724 129,362 64,681 194,044 97,022 48,511 145,534 72,767 218,302 109,151 327,454 163,727 491,182 245,591 736,774 368,387 1,105,162

More profiles

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