3,485,340

2² × 3² × 5 × 17² × 67

3,485,340 has digital root 9. The neighboring primes are 3485327 and 3485353; its proper-divisor sum differs from the starting integer by 4,427,616.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 17^2 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 11,398,296

Proper Divisor Sum 7,912,956

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3485327 ← → #3485353

Radix Representation

Decimal	3485340
Binary	1101010010111010011100 (22 bits)
Octal	0o15227234
Hexadecimal	0x352E9C

Divisor Catalog (60 of 108)

1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 67 68 85 90 102 134 153 170 180 201 204 255 268 289 306 335 340 402 510 578 603 612 670 765 804 867 1,005 1,020 1,139 1,156 1,206 1,340 1,445 1,530 1,734 2,010 2,278 2,412 2,601 2,890 3,015

Collatz Trajectory (190 steps to reach 1)

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

3,485,340 1,742,670 871,335 2,614,006 1,307,003 3,921,010 1,960,505 5,881,516 2,940,758 1,470,379 4,411,138 2,205,569 6,616,708 3,308,354 1,654,177 4,962,532 2,481,266 1,240,633 3,721,900 1,860,950 930,475 2,791,426 1,395,713 4,187,140 2,093,570 1,046,785 3,140,356 1,570,178 785,089 2,355,268 1,177,634 588,817 1,766,452 883,226 441,613 1,324,840 662,420 331,210 165,605 496,816 248,408 124,204 62,102 31,051 93,154 46,577 139,732 69,866 34,933 104,800 52,400 26,200 13,100 6,550 3,275 9,826 4,913 14,740 7,370 3,685

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