λ
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Atlas › Integer Profiles › Node 39,630,040

39,630,040

23 × 5 × 241 × 4111
Abundant Even Composite

39,630,040 factors as 2^3 × 5 × 241 × 4111. Its 32 positive divisors give a proper-divisor sum of 49,929,320, so this integer is abundant. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 241 × 4111
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 89,559,360
Proper Divisor Sum 49,929,320
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #39630013 ← → #39630049

Radix Representation

Decimal 39630040
Binary 10010111001011010011011000 (26 bits)
Octal 0o227132330
Hexadecimal 0x25CB4D8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 241 482 964 1,205 1,928 2,410 4,111 4,820 8,222 9,640 16,444 20,555 32,888 41,110 82,220 164,440 990,751 1,981,502 3,963,004 4,953,755 7,926,008 9,907,510 19,815,020 39,630,040

Collatz Trajectory (240 steps to reach 1)

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

39,630,040 19,815,020 9,907,510 4,953,755 14,861,266 7,430,633 22,291,900 11,145,950 5,572,975 16,718,926 8,359,463 25,078,390 12,539,195 37,617,586 18,808,793 56,426,380 28,213,190 14,106,595 42,319,786 21,159,893 63,479,680 31,739,840 15,869,920 7,934,960 3,967,480 1,983,740 991,870 495,935 1,487,806 743,903 2,231,710 1,115,855 3,347,566 1,673,783 5,021,350 2,510,675 7,532,026 3,766,013 11,298,040 5,649,020 2,824,510 1,412,255 4,236,766 2,118,383 6,355,150 3,177,575 9,532,726 4,766,363 14,299,090 7,149,545 21,448,636 10,724,318 5,362,159 16,086,478 8,043,239 24,129,718 12,064,859 36,194,578 18,097,289 54,291,868

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