λ
Ratio Atlas

4,610,007

33 × 170741
Deficient Odd Composite

4,610,007 factors as 3^3 × 170741. Its 8 positive divisors give a proper-divisor sum of 2,219,673, so this integer is deficient. The Collatz stopping time is 255 steps.

Prime Factor Structure

Factorization String 3^3 × 170741
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,829,680
Proper Divisor Sum 2,219,673
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4610003 ← → #4610017

Radix Representation

Decimal 4610007
Binary 10001100101011111010111 (23 bits)
Octal 0o21453727
Hexadecimal 0x4657D7

Divisor Catalog (8)

1 3 9 27 170,741 512,223 1,536,669 4,610,007

Collatz Trajectory (255 steps to reach 1)

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

4,610,007 13,830,022 6,915,011 20,745,034 10,372,517 31,117,552 15,558,776 7,779,388 3,889,694 1,944,847 5,834,542 2,917,271 8,751,814 4,375,907 13,127,722 6,563,861 19,691,584 9,845,792 4,922,896 2,461,448 1,230,724 615,362 307,681 923,044 461,522 230,761 692,284 346,142 173,071 519,214 259,607 778,822 389,411 1,168,234 584,117 1,752,352 876,176 438,088 219,044 109,522 54,761 164,284 82,142 41,071 123,214 61,607 184,822 92,411 277,234 138,617 415,852 207,926 103,963 311,890 155,945 467,836 233,918 116,959 350,878 175,439

More profiles

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