λ
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Atlas › Integer Profiles › Node 40,282,900

40,282,900

22 × 52 × 72 × 8221
Abundant Even Composite

40,282,900 factors as 2^2 × 5^2 × 7^2 × 8221. Its 54 positive divisors give a proper-divisor sum of 61,415,018, so this integer is abundant. The Collatz stopping time is 59 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7^2 × 8221
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 101,697,918
Proper Divisor Sum 61,415,018
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #40282871 ← → #40282927

Radix Representation

Decimal 40282900
Binary 10011001101010101100010100 (26 bits)
Octal 0o231525424
Hexadecimal 0x266AB14

Divisor Catalog (54)

1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1,225 2,450 4,900 8,221 16,442 32,884 41,105 57,547 82,210 115,094 164,420 205,525 230,188 287,735 402,829 411,050 575,470 805,658 822,100 1,150,940 1,438,675 1,611,316 2,014,145 2,877,350 4,028,290 5,754,700 8,056,580 10,070,725 20,141,450 40,282,900

Collatz Trajectory (59 steps to reach 1)

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

40,282,900 20,141,450 10,070,725 30,212,176 15,106,088 7,553,044 3,776,522 1,888,261 5,664,784 2,832,392 1,416,196 708,098 354,049 1,062,148 531,074 265,537 796,612 398,306 199,153 597,460 298,730 149,365 448,096 224,048 112,024 56,012 28,006 14,003 42,010 21,005 63,016 31,508 15,754 7,877 23,632 11,816 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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