λ
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Atlas › Integer Profiles › Node 25,702,000

25,702,000

24 × 53 × 71 × 181
Abundant Even Composite

25,702,000 factors as 2^4 × 5^3 × 71 × 181. Its 80 positive divisors give a proper-divisor sum of 37,668,944, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^4 × 5^3 × 71 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 63,370,944
Proper Divisor Sum 37,668,944
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #25701961 ← → #25702021

Radix Representation

Decimal 25702000
Binary 1100010000010111001110000 (25 bits)
Octal 0o142027160
Hexadecimal 0x1882E70

Divisor Catalog (60 of 80)

1 2 4 5 8 10 16 20 25 40 50 71 80 100 125 142 181 200 250 284 355 362 400 500 568 710 724 905 1,000 1,136 1,420 1,448 1,775 1,810 2,000 2,840 2,896 3,550 3,620 4,525 5,680 7,100 7,240 8,875 9,050 12,851 14,200 14,480 17,750 18,100 22,625 25,702 28,400 35,500 36,200 45,250 51,404 64,255 71,000 72,400

Collatz Trajectory (97 steps to reach 1)

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

25,702,000 12,851,000 6,425,500 3,212,750 1,606,375 4,819,126 2,409,563 7,228,690 3,614,345 10,843,036 5,421,518 2,710,759 8,132,278 4,066,139 12,198,418 6,099,209 18,297,628 9,148,814 4,574,407 13,723,222 6,861,611 20,584,834 10,292,417 30,877,252 15,438,626 7,719,313 23,157,940 11,578,970 5,789,485 17,368,456 8,684,228 4,342,114 2,171,057 6,513,172 3,256,586 1,628,293 4,884,880 2,442,440 1,221,220 610,610 305,305 915,916 457,958 228,979 686,938 343,469 1,030,408 515,204 257,602 128,801 386,404 193,202 96,601 289,804 144,902 72,451 217,354 108,677 326,032 163,016

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