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Atlas › Integer Profiles › Node 7,579,006

7,579,006

2 × 23 × 37 × 61 × 73
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 23 × 37 × 61 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,552,768
Proper Divisor Sum 4,973,762
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7579003 ← → #7579027

Radix Representation

Decimal 7579006
Binary 11100111010010101111110 (23 bits)
Octal 0o34722576
Hexadecimal 0x73A57E

Divisor Catalog (32)

1 2 23 37 46 61 73 74 122 146 851 1,403 1,679 1,702 2,257 2,701 2,806 3,358 4,453 4,514 5,402 8,906 51,911 62,123 102,419 103,822 124,246 164,761 204,838 329,522 3,789,503 7,579,006

Collatz Trajectory (111 steps to reach 1)

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

7,579,006 3,789,503 11,368,510 5,684,255 17,052,766 8,526,383 25,579,150 12,789,575 38,368,726 19,184,363 57,553,090 28,776,545 86,329,636 43,164,818 21,582,409 64,747,228 32,373,614 16,186,807 48,560,422 24,280,211 72,840,634 36,420,317 109,260,952 54,630,476 27,315,238 13,657,619 40,972,858 20,486,429 61,459,288 30,729,644 15,364,822 7,682,411 23,047,234 11,523,617 34,570,852 17,285,426 8,642,713 25,928,140 12,964,070 6,482,035 19,446,106 9,723,053 29,169,160 14,584,580 7,292,290 3,646,145 10,938,436 5,469,218 2,734,609 8,203,828 4,101,914 2,050,957 6,152,872 3,076,436 1,538,218 769,109 2,307,328 1,153,664 576,832 288,416

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