λ
Prime Ledger

7,004,595

3 × 5 × 13 × 17 × 2113
Deficient Odd Composite

7,004,595 has the prime decomposition 3 × 5 × 13 × 17 × 2113. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 17 × 2113
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,785,472
Proper Divisor Sum 5,780,877
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7004593 ← → #7004603

Radix Representation

Decimal 7004595
Binary 11010101110000110110011 (23 bits)
Octal 0o32560663
Hexadecimal 0x6AE1B3

Divisor Catalog (32)

1 3 5 13 15 17 39 51 65 85 195 221 255 663 1,105 2,113 3,315 6,339 10,565 27,469 31,695 35,921 82,407 107,763 137,345 179,605 412,035 466,973 538,815 1,400,919 2,334,865 7,004,595

Collatz Trajectory (204 steps to reach 1)

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

7,004,595 21,013,786 10,506,893 31,520,680 15,760,340 7,880,170 3,940,085 11,820,256 5,910,128 2,955,064 1,477,532 738,766 369,383 1,108,150 554,075 1,662,226 831,113 2,493,340 1,246,670 623,335 1,870,006 935,003 2,805,010 1,402,505 4,207,516 2,103,758 1,051,879 3,155,638 1,577,819 4,733,458 2,366,729 7,100,188 3,550,094 1,775,047 5,325,142 2,662,571 7,987,714 3,993,857 11,981,572 5,990,786 2,995,393 8,986,180 4,493,090 2,246,545 6,739,636 3,369,818 1,684,909 5,054,728 2,527,364 1,263,682 631,841 1,895,524 947,762 473,881 1,421,644 710,822 355,411 1,066,234 533,117 1,599,352

More profiles

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