λ
Integer Codex

8,392,607

8392607
Deficient Odd Prime

For 8,392,607, the 2 positive divisors have a total of 8,392,608. Removing 8,392,607 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 8392607
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,392,608
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8392597 ← → #8392619

Radix Representation

Decimal 8392607
Binary 100000000000111110011111 (24 bits)
Octal 0o40007637
Hexadecimal 0x800F9F

Divisor Catalog (2)

Collatz Trajectory (168 steps to reach 1)

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

8,392,607 25,177,822 12,588,911 37,766,734 18,883,367 56,650,102 28,325,051 84,975,154 42,487,577 127,462,732 63,731,366 31,865,683 95,597,050 47,798,525 143,395,576 71,697,788 35,848,894 17,924,447 53,773,342 26,886,671 80,660,014 40,330,007 120,990,022 60,495,011 181,485,034 90,742,517 272,227,552 136,113,776 68,056,888 34,028,444 17,014,222 8,507,111 25,521,334 12,760,667 38,282,002 19,141,001 57,423,004 28,711,502 14,355,751 43,067,254 21,533,627 64,600,882 32,300,441 96,901,324 48,450,662 24,225,331 72,675,994 36,337,997 109,013,992 54,506,996 27,253,498 13,626,749 40,880,248 20,440,124 10,220,062 5,110,031 15,330,094 7,665,047 22,995,142 11,497,571

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