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Atlas › Integer Profiles › Node 40,448,752

40,448,752

24 × 53 × 47699
Deficient Even Composite

40,448,752 factors as 2^4 × 53 × 47699. Its 20 positive divisors give a proper-divisor sum of 39,401,048, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^4 × 53 × 47699
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 79,849,800
Proper Divisor Sum 39,401,048
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #40448731 ← → #40448753

Radix Representation

Decimal 40448752
Binary 10011010010011001011110000 (26 bits)
Octal 0o232231360
Hexadecimal 0x26932F0

Divisor Catalog (20)

1 2 4 8 16 53 106 212 424 848 47,699 95,398 190,796 381,592 763,184 2,528,047 5,056,094 10,112,188 20,224,376 40,448,752

Collatz Trajectory (209 steps to reach 1)

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

40,448,752 20,224,376 10,112,188 5,056,094 2,528,047 7,584,142 3,792,071 11,376,214 5,688,107 17,064,322 8,532,161 25,596,484 12,798,242 6,399,121 19,197,364 9,598,682 4,799,341 14,398,024 7,199,012 3,599,506 1,799,753 5,399,260 2,699,630 1,349,815 4,049,446 2,024,723 6,074,170 3,037,085 9,111,256 4,555,628 2,277,814 1,138,907 3,416,722 1,708,361 5,125,084 2,562,542 1,281,271 3,843,814 1,921,907 5,765,722 2,882,861 8,648,584 4,324,292 2,162,146 1,081,073 3,243,220 1,621,610 810,805 2,432,416 1,216,208 608,104 304,052 152,026 76,013 228,040 114,020 57,010 28,505 85,516 42,758

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