3,465,764

2² × 109 × 7949

3,465,764 has digital root 8. The neighboring primes are 3465743 and 3465793; its proper-divisor sum differs from the starting integer by -810,028.

Prime Factor Structure

Factorization String 2^2 × 109 × 7949

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,121,500

Proper Divisor Sum 2,655,736

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3465743 ← → #3465793

Radix Representation

Decimal	3465764
Binary	1101001110001000100100 (22 bits)
Octal	0o15161044
Hexadecimal	0x34E224

Divisor Catalog (12)

1 2 4 109 218 436 7,949 15,898 31,796 866,441 1,732,882 3,465,764

Collatz Trajectory (97 steps to reach 1)

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

3,465,764 1,732,882 866,441 2,599,324 1,299,662 649,831 1,949,494 974,747 2,924,242 1,462,121 4,386,364 2,193,182 1,096,591 3,289,774 1,644,887 4,934,662 2,467,331 7,401,994 3,700,997 11,102,992 5,551,496 2,775,748 1,387,874 693,937 2,081,812 1,040,906 520,453 1,561,360 780,680 390,340 195,170 97,585 292,756 146,378 73,189 219,568 109,784 54,892 27,446 13,723 41,170 20,585 61,756 30,878 15,439 46,318 23,159 69,478 34,739 104,218 52,109 156,328 78,164 39,082 19,541 58,624 29,312 14,656 7,328 3,664

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