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Atlas › Integer Profiles › Node 7,563,094

7,563,094

2 × 7 × 11 × 67 × 733
Deficient Even Composite

7,563,094 factors as 2 × 7 × 11 × 67 × 733. Its 32 positive divisors give a proper-divisor sum of 6,811,562, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 67 × 733
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,374,656
Proper Divisor Sum 6,811,562
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7563071 ← → #7563097

Radix Representation

Decimal 7563094
Binary 11100110110011101010110 (23 bits)
Octal 0o34663526
Hexadecimal 0x736756

Divisor Catalog (32)

1 2 7 11 14 22 67 77 134 154 469 733 737 938 1,466 1,474 5,131 5,159 8,063 10,262 10,318 16,126 49,111 56,441 98,222 112,882 343,777 540,221 687,554 1,080,442 3,781,547 7,563,094

Collatz Trajectory (111 steps to reach 1)

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

7,563,094 3,781,547 11,344,642 5,672,321 17,016,964 8,508,482 4,254,241 12,762,724 6,381,362 3,190,681 9,572,044 4,786,022 2,393,011 7,179,034 3,589,517 10,768,552 5,384,276 2,692,138 1,346,069 4,038,208 2,019,104 1,009,552 504,776 252,388 126,194 63,097 189,292 94,646 47,323 141,970 70,985 212,956 106,478 53,239 159,718 79,859 239,578 119,789 359,368 179,684 89,842 44,921 134,764 67,382 33,691 101,074 50,537 151,612 75,806 37,903 113,710 56,855 170,566 85,283 255,850 127,925 383,776 191,888 95,944 47,972

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