λ
Harmonic Matrix

4,388,797

7 × 383 × 1637
Deficient Odd Composite

4,388,797 has digital root 1. The neighboring primes are 4388779 and 4388803; its proper-divisor sum differs from the starting integer by -3,745,658.

Prime Factor Structure

Factorization String 7 × 383 × 1637
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,031,936
Proper Divisor Sum 643,139
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #4388779 ← → #4388803

Radix Representation

Decimal 4388797
Binary 10000101111011110111101 (23 bits)
Octal 0o20573675
Hexadecimal 0x42F7BD

Divisor Catalog (8)

1 7 383 1,637 2,681 11,459 626,971 4,388,797

Collatz Trajectory (224 steps to reach 1)

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

4,388,797 13,166,392 6,583,196 3,291,598 1,645,799 4,937,398 2,468,699 7,406,098 3,703,049 11,109,148 5,554,574 2,777,287 8,331,862 4,165,931 12,497,794 6,248,897 18,746,692 9,373,346 4,686,673 14,060,020 7,030,010 3,515,005 10,545,016 5,272,508 2,636,254 1,318,127 3,954,382 1,977,191 5,931,574 2,965,787 8,897,362 4,448,681 13,346,044 6,673,022 3,336,511 10,009,534 5,004,767 15,014,302 7,507,151 22,521,454 11,260,727 33,782,182 16,891,091 50,673,274 25,336,637 76,009,912 38,004,956 19,002,478 9,501,239 28,503,718 14,251,859 42,755,578 21,377,789 64,133,368 32,066,684 16,033,342 8,016,671 24,050,014 12,025,007 36,075,022

More profiles

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