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Atlas › Integer Profiles › Node 7,836,626

7,836,626

2 × 7 × 17 × 19 × 1733
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 17 × 19 × 1733
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,981,760
Proper Divisor Sum 7,145,134
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7836613 ← → #7836649

Radix Representation

Decimal 7836626
Binary 11101111001001111010010 (23 bits)
Octal 0o35711722
Hexadecimal 0x7793D2

Divisor Catalog (32)

1 2 7 14 17 19 34 38 119 133 238 266 323 646 1,733 2,261 3,466 4,522 12,131 24,262 29,461 32,927 58,922 65,854 206,227 230,489 412,454 460,978 559,759 1,119,518 3,918,313 7,836,626

Collatz Trajectory (155 steps to reach 1)

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

7,836,626 3,918,313 11,754,940 5,877,470 2,938,735 8,816,206 4,408,103 13,224,310 6,612,155 19,836,466 9,918,233 29,754,700 14,877,350 7,438,675 22,316,026 11,158,013 33,474,040 16,737,020 8,368,510 4,184,255 12,552,766 6,276,383 18,829,150 9,414,575 28,243,726 14,121,863 42,365,590 21,182,795 63,548,386 31,774,193 95,322,580 47,661,290 23,830,645 71,491,936 35,745,968 17,872,984 8,936,492 4,468,246 2,234,123 6,702,370 3,351,185 10,053,556 5,026,778 2,513,389 7,540,168 3,770,084 1,885,042 942,521 2,827,564 1,413,782 706,891 2,120,674 1,060,337 3,181,012 1,590,506 795,253 2,385,760 1,192,880 596,440 298,220

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