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Atlas › Integer Profiles › Node 4,157,979

4,157,979

3 × 7 × 17 × 19 × 613
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 17 × 19 × 613
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,073,280
Proper Divisor Sum 2,915,301
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4157947 ← → #4157981

Radix Representation

Decimal 4157979
Binary 1111110111001000011011 (22 bits)
Octal 0o17671033
Hexadecimal 0x3F721B

Divisor Catalog (32)

1 3 7 17 19 21 51 57 119 133 323 357 399 613 969 1,839 2,261 4,291 6,783 10,421 11,647 12,873 31,263 34,941 72,947 81,529 197,999 218,841 244,587 593,997 1,385,993 4,157,979

Collatz Trajectory (136 steps to reach 1)

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

4,157,979 12,473,938 6,236,969 18,710,908 9,355,454 4,677,727 14,033,182 7,016,591 21,049,774 10,524,887 31,574,662 15,787,331 47,361,994 23,680,997 71,042,992 35,521,496 17,760,748 8,880,374 4,440,187 13,320,562 6,660,281 19,980,844 9,990,422 4,995,211 14,985,634 7,492,817 22,478,452 11,239,226 5,619,613 16,858,840 8,429,420 4,214,710 2,107,355 6,322,066 3,161,033 9,483,100 4,741,550 2,370,775 7,112,326 3,556,163 10,668,490 5,334,245 16,002,736 8,001,368 4,000,684 2,000,342 1,000,171 3,000,514 1,500,257 4,500,772 2,250,386 1,125,193 3,375,580 1,687,790 843,895 2,531,686 1,265,843 3,797,530 1,898,765 5,696,296

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