λ
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Atlas › Integer Profiles › Node 25,300,852

25,300,852

22 × 47 × 59 × 2281
Deficient Even Composite

25,300,852 factors as 2^2 × 47 × 59 × 2281. Its 24 positive divisors give a proper-divisor sum of 20,704,268, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^2 × 47 × 59 × 2281
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 46,005,120
Proper Divisor Sum 20,704,268
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #25300841 ← → #25300853

Radix Representation

Decimal 25300852
Binary 1100000100000111101110100 (25 bits)
Octal 0o140407564
Hexadecimal 0x1820F74

Divisor Catalog (24)

1 2 4 47 59 94 118 188 236 2,281 2,773 4,562 5,546 9,124 11,092 107,207 134,579 214,414 269,158 428,828 538,316 6,325,213 12,650,426 25,300,852

Collatz Trajectory (167 steps to reach 1)

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

25,300,852 12,650,426 6,325,213 18,975,640 9,487,820 4,743,910 2,371,955 7,115,866 3,557,933 10,673,800 5,336,900 2,668,450 1,334,225 4,002,676 2,001,338 1,000,669 3,002,008 1,501,004 750,502 375,251 1,125,754 562,877 1,688,632 844,316 422,158 211,079 633,238 316,619 949,858 474,929 1,424,788 712,394 356,197 1,068,592 534,296 267,148 133,574 66,787 200,362 100,181 300,544 150,272 75,136 37,568 18,784 9,392 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124

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