λ
Integer Codex

9,604,978

2 × 31 × 37 × 53 × 79
Deficient Even Composite

For 9,604,978, the 32 positive divisors have a total of 15,759,360. Removing 9,604,978 leaves 6,154,382, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 31 × 37 × 53 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,759,360
Proper Divisor Sum 6,154,382
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9604963 ← → #9604979

Radix Representation

Decimal 9604978
Binary 100100101000111101110010 (24 bits)
Octal 0o44507562
Hexadecimal 0x928F72

Divisor Catalog (32)

1 2 31 37 53 62 74 79 106 158 1,147 1,643 1,961 2,294 2,449 2,923 3,286 3,922 4,187 4,898 5,846 8,374 60,791 90,613 121,582 129,797 154,919 181,226 259,594 309,838 4,802,489 9,604,978

Collatz Trajectory (119 steps to reach 1)

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

9,604,978 4,802,489 14,407,468 7,203,734 3,601,867 10,805,602 5,402,801 16,208,404 8,104,202 4,052,101 12,156,304 6,078,152 3,039,076 1,519,538 759,769 2,279,308 1,139,654 569,827 1,709,482 854,741 2,564,224 1,282,112 641,056 320,528 160,264 80,132 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700

More profiles

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