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Atlas › Integer Profiles › Node 48,410,136

48,410,136

23 × 34 × 74707
Abundant Even Composite

48,410,136 factors as 2^3 × 3^4 × 74707. Its 40 positive divisors give a proper-divisor sum of 87,184,884, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^3 × 3^4 × 74707
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 135,595,020
Proper Divisor Sum 87,184,884
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #48410129 ← → #48410137

Radix Representation

Decimal 48410136
Binary 10111000101010111000011000 (26 bits)
Octal 0o270527030
Hexadecimal 0x2E2AE18

Divisor Catalog (40)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 74,707 149,414 224,121 298,828 448,242 597,656 672,363 896,484 1,344,726 1,792,968 2,017,089 2,689,452 4,034,178 5,378,904 6,051,267 8,068,356 12,102,534 16,136,712 24,205,068 48,410,136

Collatz Trajectory (186 steps to reach 1)

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

48,410,136 24,205,068 12,102,534 6,051,267 18,153,802 9,076,901 27,230,704 13,615,352 6,807,676 3,403,838 1,701,919 5,105,758 2,552,879 7,658,638 3,829,319 11,487,958 5,743,979 17,231,938 8,615,969 25,847,908 12,923,954 6,461,977 19,385,932 9,692,966 4,846,483 14,539,450 7,269,725 21,809,176 10,904,588 5,452,294 2,726,147 8,178,442 4,089,221 12,267,664 6,133,832 3,066,916 1,533,458 766,729 2,300,188 1,150,094 575,047 1,725,142 862,571 2,587,714 1,293,857 3,881,572 1,940,786 970,393 2,911,180 1,455,590 727,795 2,183,386 1,091,693 3,275,080 1,637,540 818,770 409,385 1,228,156 614,078 307,039

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