λ
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Atlas › Integer Profiles › Node 9,723,714

9,723,714

2 × 3 × 7 × 11 × 13 × 1619
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 11 × 13 × 1619
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 26,127,360
Proper Divisor Sum 16,403,646
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9723713 ← → #9723757

Radix Representation

Decimal 9723714
Binary 100101000101111101000010 (24 bits)
Octal 0o45057502
Hexadecimal 0x945F42

Divisor Catalog (60 of 64)

1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1,001 1,619 2,002 3,003 3,238 4,857 6,006 9,714 11,333 17,809 21,047 22,666 33,999 35,618 42,094 53,427 63,141 67,998 106,854 124,663 126,282 147,329 231,517 249,326 294,658 373,989 441,987 463,034 694,551 747,978 883,974 1,389,102

Collatz Trajectory (207 steps to reach 1)

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

9,723,714 4,861,857 14,585,572 7,292,786 3,646,393 10,939,180 5,469,590 2,734,795 8,204,386 4,102,193 12,306,580 6,153,290 3,076,645 9,229,936 4,614,968 2,307,484 1,153,742 576,871 1,730,614 865,307 2,595,922 1,297,961 3,893,884 1,946,942 973,471 2,920,414 1,460,207 4,380,622 2,190,311 6,570,934 3,285,467 9,856,402 4,928,201 14,784,604 7,392,302 3,696,151 11,088,454 5,544,227 16,632,682 8,316,341 24,949,024 12,474,512 6,237,256 3,118,628 1,559,314 779,657 2,338,972 1,169,486 584,743 1,754,230 877,115 2,631,346 1,315,673 3,947,020 1,973,510 986,755 2,960,266 1,480,133 4,440,400 2,220,200

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