λ
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Atlas › Integer Profiles › Node 37,026,848

37,026,848

25 × 89 × 13001
Deficient Even Composite

37,026,848 factors as 2^5 × 89 × 13001. Its 24 positive divisors give a proper-divisor sum of 36,694,492, so this integer is deficient. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 2^5 × 89 × 13001
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 73,721,340
Proper Divisor Sum 36,694,492
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #37026811 ← → #37026851

Radix Representation

Decimal 37026848
Binary 10001101001111110000100000 (26 bits)
Octal 0o215176040
Hexadecimal 0x234FC20

Divisor Catalog (24)

1 2 4 8 16 32 89 178 356 712 1,424 2,848 13,001 26,002 52,004 104,008 208,016 416,032 1,157,089 2,314,178 4,628,356 9,256,712 18,513,424 37,026,848

Collatz Trajectory (240 steps to reach 1)

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

37,026,848 18,513,424 9,256,712 4,628,356 2,314,178 1,157,089 3,471,268 1,735,634 867,817 2,603,452 1,301,726 650,863 1,952,590 976,295 2,928,886 1,464,443 4,393,330 2,196,665 6,589,996 3,294,998 1,647,499 4,942,498 2,471,249 7,413,748 3,706,874 1,853,437 5,560,312 2,780,156 1,390,078 695,039 2,085,118 1,042,559 3,127,678 1,563,839 4,691,518 2,345,759 7,037,278 3,518,639 10,555,918 5,277,959 15,833,878 7,916,939 23,750,818 11,875,409 35,626,228 17,813,114 8,906,557 26,719,672 13,359,836 6,679,918 3,339,959 10,019,878 5,009,939 15,029,818 7,514,909 22,544,728 11,272,364 5,636,182 2,818,091 8,454,274

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