4,335,765

3 × 5 × 7² × 17 × 347

4,335,765 has digital root 6. The neighboring primes are 4335763 and 4335767; its proper-divisor sum differs from the starting integer by -102,378.

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 17 × 347

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 8,569,152

Proper Divisor Sum 4,233,387

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4335763 ← → #4335767

Radix Representation

Decimal	4335765
Binary	10000100010100010010101 (23 bits)
Octal	0o20424225
Hexadecimal	0x422895

Divisor Catalog (48)

1 3 5 7 15 17 21 35 49 51 85 105 119 147 245 255 347 357 595 735 833 1,041 1,735 1,785 2,429 2,499 4,165 5,205 5,899 7,287 12,145 12,495 17,003 17,697 29,495 36,435 41,293 51,009 85,015 88,485 123,879 206,465 255,045 289,051 619,395 867,153 1,445,255 4,335,765

Collatz Trajectory (105 steps to reach 1)

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

4,335,765 13,007,296 6,503,648 3,251,824 1,625,912 812,956 406,478 203,239 609,718 304,859 914,578 457,289 1,371,868 685,934 342,967 1,028,902 514,451 1,543,354 771,677 2,315,032 1,157,516 578,758 289,379 868,138 434,069 1,302,208 651,104 325,552 162,776 81,388 40,694 20,347 61,042 30,521 91,564 45,782 22,891 68,674 34,337 103,012 51,506 25,753 77,260 38,630 19,315 57,946 28,973 86,920 43,460 21,730 10,865 32,596 16,298 8,149 24,448 12,224 6,112 3,056 1,528 764

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