λ
Ratio Atlas

9,513,977

11 × 53 × 16319
Deficient Odd Composite

9,513,977 factors as 11 × 53 × 16319. Its 8 positive divisors give a proper-divisor sum of 1,061,383, so this integer is deficient. The Collatz stopping time is 269 steps.

Prime Factor Structure

Factorization String 11 × 53 × 16319
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,575,360
Proper Divisor Sum 1,061,383
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9513967 ← → #9513979

Radix Representation

Decimal 9513977
Binary 100100010010101111111001 (24 bits)
Octal 0o44225771
Hexadecimal 0x912BF9

Divisor Catalog (8)

1 11 53 583 16,319 179,509 864,907 9,513,977

Collatz Trajectory (269 steps to reach 1)

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

9,513,977 28,541,932 14,270,966 7,135,483 21,406,450 10,703,225 32,109,676 16,054,838 8,027,419 24,082,258 12,041,129 36,123,388 18,061,694 9,030,847 27,092,542 13,546,271 40,638,814 20,319,407 60,958,222 30,479,111 91,437,334 45,718,667 137,156,002 68,578,001 205,734,004 102,867,002 51,433,501 154,300,504 77,150,252 38,575,126 19,287,563 57,862,690 28,931,345 86,794,036 43,397,018 21,698,509 65,095,528 32,547,764 16,273,882 8,136,941 24,410,824 12,205,412 6,102,706 3,051,353 9,154,060 4,577,030 2,288,515 6,865,546 3,432,773 10,298,320 5,149,160 2,574,580 1,287,290 643,645 1,930,936 965,468 482,734 241,367 724,102 362,051

More profiles

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