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Atlas › Integer Profiles › Node 40,037,512

40,037,512

23 × 127 × 157 × 251
Deficient Even Composite

40,037,512 factors as 2^3 × 127 × 157 × 251. Its 32 positive divisors give a proper-divisor sum of 36,409,208, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^3 × 127 × 157 × 251
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 76,446,720
Proper Divisor Sum 36,409,208
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #40037497 ← → #40037513

Radix Representation

Decimal 40037512
Binary 10011000101110110010001000 (26 bits)
Octal 0o230566210
Hexadecimal 0x262EC88

Divisor Catalog (32)

1 2 4 8 127 157 251 254 314 502 508 628 1,004 1,016 1,256 2,008 19,939 31,877 39,407 39,878 63,754 78,814 79,756 127,508 157,628 159,512 255,016 315,256 5,004,689 10,009,378 20,018,756 40,037,512

Collatz Trajectory (116 steps to reach 1)

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

40,037,512 20,018,756 10,009,378 5,004,689 15,014,068 7,507,034 3,753,517 11,260,552 5,630,276 2,815,138 1,407,569 4,222,708 2,111,354 1,055,677 3,167,032 1,583,516 791,758 395,879 1,187,638 593,819 1,781,458 890,729 2,672,188 1,336,094 668,047 2,004,142 1,002,071 3,006,214 1,503,107 4,509,322 2,254,661 6,763,984 3,381,992 1,690,996 845,498 422,749 1,268,248 634,124 317,062 158,531 475,594 237,797 713,392 356,696 178,348 89,174 44,587 133,762 66,881 200,644 100,322 50,161 150,484 75,242 37,621 112,864 56,432 28,216 14,108 7,054

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