λ
Harmonic Matrix

9,412,901

9412901
Deficient Odd Prime

9,412,901 has digital root 8. The neighboring primes are 9412891 and 9412943; its proper-divisor sum differs from the starting integer by -9,412,900.

Prime Factor Structure

Factorization String 9412901
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,412,902
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9412891 ← → #9412943

Radix Representation

Decimal 9412901
Binary 100011111010000100100101 (24 bits)
Octal 0o43720445
Hexadecimal 0x8FA125

Divisor Catalog (2)

Collatz Trajectory (132 steps to reach 1)

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

9,412,901 28,238,704 14,119,352 7,059,676 3,529,838 1,764,919 5,294,758 2,647,379 7,942,138 3,971,069 11,913,208 5,956,604 2,978,302 1,489,151 4,467,454 2,233,727 6,701,182 3,350,591 10,051,774 5,025,887 15,077,662 7,538,831 22,616,494 11,308,247 33,924,742 16,962,371 50,887,114 25,443,557 76,330,672 38,165,336 19,082,668 9,541,334 4,770,667 14,312,002 7,156,001 21,468,004 10,734,002 5,367,001 16,101,004 8,050,502 4,025,251 12,075,754 6,037,877 18,113,632 9,056,816 4,528,408 2,264,204 1,132,102 566,051 1,698,154 849,077 2,547,232 1,273,616 636,808 318,404 159,202 79,601 238,804 119,402 59,701

More profiles

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