9,704,436

2² × 3 × 7 × 23 × 5023

9,704,436 has digital root 6. The neighboring primes are 9704423 and 9704441; its proper-divisor sum differs from the starting integer by 7,600,152.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 23 × 5023

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 27,009,024

Proper Divisor Sum 17,304,588

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9704423 ← → #9704441

Radix Representation

Decimal	9704436
Binary	100101000001001111110100 (24 bits)
Octal	0o45011764
Hexadecimal	0x9413F4

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1,932 5,023 10,046 15,069 20,092 30,138 35,161 60,276 70,322 105,483 115,529 140,644 210,966 231,058 346,587 421,932 462,116 693,174 808,703 1,386,348 1,617,406 2,426,109 3,234,812 4,852,218 9,704,436

Collatz Trajectory (300 steps to reach 1)

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

9,704,436 4,852,218 2,426,109 7,278,328 3,639,164 1,819,582 909,791 2,729,374 1,364,687 4,094,062 2,047,031 6,141,094 3,070,547 9,211,642 4,605,821 13,817,464 6,908,732 3,454,366 1,727,183 5,181,550 2,590,775 7,772,326 3,886,163 11,658,490 5,829,245 17,487,736 8,743,868 4,371,934 2,185,967 6,557,902 3,278,951 9,836,854 4,918,427 14,755,282 7,377,641 22,132,924 11,066,462 5,533,231 16,599,694 8,299,847 24,899,542 12,449,771 37,349,314 18,674,657 56,023,972 28,011,986 14,005,993 42,017,980 21,008,990 10,504,495 31,513,486 15,756,743 47,270,230 23,635,115 70,905,346 35,452,673 106,358,020 53,179,010 26,589,505 79,768,516

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