λ
Harmonic Matrix

5,713,976

23 × 714247
Deficient Even Composite

5,713,976 has digital root 2. The neighboring primes are 5713963 and 5713993; its proper-divisor sum differs from the starting integer by -714,232.

Prime Factor Structure

Factorization String 2^3 × 714247
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,713,720
Proper Divisor Sum 4,999,744
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5713963 ← → #5713993

Radix Representation

Decimal 5713976
Binary 10101110011000000111000 (23 bits)
Octal 0o25630070
Hexadecimal 0x573038

Divisor Catalog (8)

1 2 4 8 714,247 1,428,494 2,856,988 5,713,976

Collatz Trajectory (126 steps to reach 1)

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

5,713,976 2,856,988 1,428,494 714,247 2,142,742 1,071,371 3,214,114 1,607,057 4,821,172 2,410,586 1,205,293 3,615,880 1,807,940 903,970 451,985 1,355,956 677,978 338,989 1,016,968 508,484 254,242 127,121 381,364 190,682 95,341 286,024 143,012 71,506 35,753 107,260 53,630 26,815 80,446 40,223 120,670 60,335 181,006 90,503 271,510 135,755 407,266 203,633 610,900 305,450 152,725 458,176 229,088 114,544 57,272 28,636 14,318 7,159 21,478 10,739 32,218 16,109 48,328 24,164 12,082 6,041

More profiles

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