λ
Integer Codex

8,407,597

11 × 764327
Deficient Odd Composite

For 8,407,597, the 4 positive divisors have a total of 9,171,936. Removing 8,407,597 leaves 764,339, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 764327
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,171,936
Proper Divisor Sum 764,339
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8407591 ← → #8407613

Radix Representation

Decimal 8407597
Binary 100000000100101000101101 (24 bits)
Octal 0o40045055
Hexadecimal 0x804A2D

Divisor Catalog (4)

1 11 764,327 8,407,597

Collatz Trajectory (93 steps to reach 1)

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

8,407,597 25,222,792 12,611,396 6,305,698 3,152,849 9,458,548 4,729,274 2,364,637 7,093,912 3,546,956 1,773,478 886,739 2,660,218 1,330,109 3,990,328 1,995,164 997,582 498,791 1,496,374 748,187 2,244,562 1,122,281 3,366,844 1,683,422 841,711 2,525,134 1,262,567 3,787,702 1,893,851 5,681,554 2,840,777 8,522,332 4,261,166 2,130,583 6,391,750 3,195,875 9,587,626 4,793,813 14,381,440 7,190,720 3,595,360 1,797,680 898,840 449,420 224,710 112,355 337,066 168,533 505,600 252,800 126,400 63,200 31,600 15,800 7,900 3,950 1,975 5,926 2,963 8,890

More profiles

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