λ
Harmonic Matrix

9,427,256

23 × 59 × 19973
Deficient Even Composite

9,427,256 has digital root 8. The neighboring primes are 9427237 and 9427259; its proper-divisor sum differs from the starting integer by -877,912.

Prime Factor Structure

Factorization String 2^3 × 59 × 19973
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,976,600
Proper Divisor Sum 8,549,344
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9427237 ← → #9427259

Radix Representation

Decimal 9427256
Binary 100011111101100100111000 (24 bits)
Octal 0o43754470
Hexadecimal 0x8FD938

Divisor Catalog (16)

1 2 4 8 59 118 236 472 19,973 39,946 79,892 159,784 1,178,407 2,356,814 4,713,628 9,427,256

Collatz Trajectory (362 steps to reach 1)

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

9,427,256 4,713,628 2,356,814 1,178,407 3,535,222 1,767,611 5,302,834 2,651,417 7,954,252 3,977,126 1,988,563 5,965,690 2,982,845 8,948,536 4,474,268 2,237,134 1,118,567 3,355,702 1,677,851 5,033,554 2,516,777 7,550,332 3,775,166 1,887,583 5,662,750 2,831,375 8,494,126 4,247,063 12,741,190 6,370,595 19,111,786 9,555,893 28,667,680 14,333,840 7,166,920 3,583,460 1,791,730 895,865 2,687,596 1,343,798 671,899 2,015,698 1,007,849 3,023,548 1,511,774 755,887 2,267,662 1,133,831 3,401,494 1,700,747 5,102,242 2,551,121 7,653,364 3,826,682 1,913,341 5,740,024 2,870,012 1,435,006 717,503 2,152,510

More profiles

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