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Atlas › Integer Profiles › Node 10,174,408

10,174,408

23 × 372 × 929
Deficient Even Composite

10,174,408 factors as 2^3 × 37^2 × 929. Its 24 positive divisors give a proper-divisor sum of 9,453,242, so this integer is deficient. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^3 × 37^2 × 929
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 19,627,650
Proper Divisor Sum 9,453,242
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #10174403 ← → #10174421

Radix Representation

Decimal 10174408
Binary 100110110011111111001000 (24 bits)
Octal 0o46637710
Hexadecimal 0x9B3FC8

Divisor Catalog (24)

1 2 4 8 37 74 148 296 929 1,369 1,858 2,738 3,716 5,476 7,432 10,952 34,373 68,746 137,492 274,984 1,271,801 2,543,602 5,087,204 10,174,408

Collatz Trajectory (127 steps to reach 1)

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

10,174,408 5,087,204 2,543,602 1,271,801 3,815,404 1,907,702 953,851 2,861,554 1,430,777 4,292,332 2,146,166 1,073,083 3,219,250 1,609,625 4,828,876 2,414,438 1,207,219 3,621,658 1,810,829 5,432,488 2,716,244 1,358,122 679,061 2,037,184 1,018,592 509,296 254,648 127,324 63,662 31,831 95,494 47,747 143,242 71,621 214,864 107,432 53,716 26,858 13,429 40,288 20,144 10,072 5,036 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795

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