λ
Harmonic Matrix

5,477,691

3 × 1825897
Deficient Odd Composite

5,477,691 has digital root 3. The neighboring primes are 5477677 and 5477729; its proper-divisor sum differs from the starting integer by -3,651,790.

Prime Factor Structure

Factorization String 3 × 1825897
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,303,592
Proper Divisor Sum 1,825,901
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5477677 ← → #5477729

Radix Representation

Decimal 5477691
Binary 10100111001010100111011 (23 bits)
Octal 0o24712473
Hexadecimal 0x53953B

Divisor Catalog (4)

1 3 1,825,897 5,477,691

Collatz Trajectory (113 steps to reach 1)

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

5,477,691 16,433,074 8,216,537 24,649,612 12,324,806 6,162,403 18,487,210 9,243,605 27,730,816 13,865,408 6,932,704 3,466,352 1,733,176 866,588 433,294 216,647 649,942 324,971 974,914 487,457 1,462,372 731,186 365,593 1,096,780 548,390 274,195 822,586 411,293 1,233,880 616,940 308,470 154,235 462,706 231,353 694,060 347,030 173,515 520,546 260,273 780,820 390,410 195,205 585,616 292,808 146,404 73,202 36,601 109,804 54,902 27,451 82,354 41,177 123,532 61,766 30,883 92,650 46,325 138,976 69,488 34,744

More profiles

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