λ
Harmonic Matrix

947,722

2 × 473861
Deficient Even Composite

947,722 has digital root 4. The neighboring primes are 947719 and 947729; its proper-divisor sum differs from the starting integer by -473,858.

Prime Factor Structure

Factorization String 2 × 473861
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,421,586
Proper Divisor Sum 473,864
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #947719 ← → #947729

Radix Representation

Decimal 947722
Binary 11100111011000001010 (20 bits)
Octal 0o3473012
Hexadecimal 0xE760A

Divisor Catalog (4)

1 2 473,861 947,722

Collatz Trajectory (201 steps to reach 1)

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

947,722 473,861 1,421,584 710,792 355,396 177,698 88,849 266,548 133,274 66,637 199,912 99,956 49,978 24,989 74,968 37,484 18,742 9,371 28,114 14,057 42,172 21,086 10,543 31,630 15,815 47,446 23,723 71,170 35,585 106,756 53,378 26,689 80,068 40,034 20,017 60,052 30,026 15,013 45,040 22,520 11,260 5,630 2,815 8,446 4,223 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085

More profiles

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