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Atlas › Integer Profiles › Node 45,470,194

45,470,194

2 × 7 × 11 × 503 × 587
Deficient Even Composite

45,470,194 factors as 2 × 7 × 11 × 503 × 587. Its 32 positive divisors give a proper-divisor sum of 39,879,182, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 503 × 587
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 85,349,376
Proper Divisor Sum 39,879,182
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #45470147 ← → #45470203

Radix Representation

Decimal 45470194
Binary 10101101011101000111110010 (26 bits)
Octal 0o255350762
Hexadecimal 0x2B5D1F2

Divisor Catalog (32)

1 2 7 11 14 22 77 154 503 587 1,006 1,174 3,521 4,109 5,533 6,457 7,042 8,218 11,066 12,914 38,731 45,199 77,462 90,398 295,261 590,522 2,066,827 3,247,871 4,133,654 6,495,742 22,735,097 45,470,194

Collatz Trajectory (111 steps to reach 1)

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

45,470,194 22,735,097 68,205,292 34,102,646 17,051,323 51,153,970 25,576,985 76,730,956 38,365,478 19,182,739 57,548,218 28,774,109 86,322,328 43,161,164 21,580,582 10,790,291 32,370,874 16,185,437 48,556,312 24,278,156 12,139,078 6,069,539 18,208,618 9,104,309 27,312,928 13,656,464 6,828,232 3,414,116 1,707,058 853,529 2,560,588 1,280,294 640,147 1,920,442 960,221 2,880,664 1,440,332 720,166 360,083 1,080,250 540,125 1,620,376 810,188 405,094 202,547 607,642 303,821 911,464 455,732 227,866 113,933 341,800 170,900 85,450 42,725 128,176 64,088 32,044 16,022 8,011

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