λ
Harmonic Matrix

5,723,725

52 × 7 × 32707
Deficient Odd Composite

5,723,725 has digital root 4. The neighboring primes are 5723719 and 5723737; its proper-divisor sum differs from the starting integer by -3,335,866.

Prime Factor Structure

Factorization String 5^2 × 7 × 32707
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,111,584
Proper Divisor Sum 2,387,859
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5723719 ← → #5723737

Radix Representation

Decimal 5723725
Binary 10101110101011001001101 (23 bits)
Octal 0o25653115
Hexadecimal 0x57564D

Divisor Catalog (12)

1 5 7 25 35 175 32,707 163,535 228,949 817,675 1,144,745 5,723,725

Collatz Trajectory (170 steps to reach 1)

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

5,723,725 17,171,176 8,585,588 4,292,794 2,146,397 6,439,192 3,219,596 1,609,798 804,899 2,414,698 1,207,349 3,622,048 1,811,024 905,512 452,756 226,378 113,189 339,568 169,784 84,892 42,446 21,223 63,670 31,835 95,506 47,753 143,260 71,630 35,815 107,446 53,723 161,170 80,585 241,756 120,878 60,439 181,318 90,659 271,978 135,989 407,968 203,984 101,992 50,996 25,498 12,749 38,248 19,124 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009

More profiles

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