3,451,707

3³ × 7² × 2609

3,451,707 has digital root 9. The neighboring primes are 3451699 and 3451759; its proper-divisor sum differs from the starting integer by -952,614.

Prime Factor Structure

Factorization String 3^3 × 7^2 × 2609

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,950,800

Proper Divisor Sum 2,499,093

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3451699 ← → #3451759

Radix Representation

Decimal	3451707
Binary	1101001010101100111011 (22 bits)
Octal	0o15125473
Hexadecimal	0x34AB3B

Divisor Catalog (24)

1 3 7 9 21 27 49 63 147 189 441 1,323 2,609 7,827 18,263 23,481 54,789 70,443 127,841 164,367 383,523 493,101 1,150,569 3,451,707

Collatz Trajectory (102 steps to reach 1)

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

3,451,707 10,355,122 5,177,561 15,532,684 7,766,342 3,883,171 11,649,514 5,824,757 17,474,272 8,737,136 4,368,568 2,184,284 1,092,142 546,071 1,638,214 819,107 2,457,322 1,228,661 3,685,984 1,842,992 921,496 460,748 230,374 115,187 345,562 172,781 518,344 259,172 129,586 64,793 194,380 97,190 48,595 145,786 72,893 218,680 109,340 54,670 27,335 82,006 41,003 123,010 61,505 184,516 92,258 46,129 138,388 69,194 34,597 103,792 51,896 25,948 12,974 6,487 19,462 9,731 29,194 14,597 43,792 21,896

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