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Atlas › Integer Profiles › Node 4,243,995

4,243,995

35 × 5 × 7 × 499
Abundant Odd Composite

4,243,995 factors as 3^5 × 5 × 7 × 499. Its 48 positive divisors give a proper-divisor sum of 4,492,005, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 3^5 × 5 × 7 × 499
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,736,000
Proper Divisor Sum 4,492,005
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4243991 ← → #4243997

Radix Representation

Decimal 4243995
Binary 10000001100001000011011 (23 bits)
Octal 0o20141033
Hexadecimal 0x40C21B

Divisor Catalog (48)

1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 499 567 945 1,215 1,497 1,701 2,495 2,835 3,493 4,491 7,485 8,505 10,479 13,473 17,465 22,455 31,437 40,419 52,395 67,365 94,311 121,257 157,185 202,095 282,933 471,555 606,285 848,799 1,414,665 4,243,995

Collatz Trajectory (167 steps to reach 1)

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

4,243,995 12,731,986 6,365,993 19,097,980 9,548,990 4,774,495 14,323,486 7,161,743 21,485,230 10,742,615 32,227,846 16,113,923 48,341,770 24,170,885 72,512,656 36,256,328 18,128,164 9,064,082 4,532,041 13,596,124 6,798,062 3,399,031 10,197,094 5,098,547 15,295,642 7,647,821 22,943,464 11,471,732 5,735,866 2,867,933 8,603,800 4,301,900 2,150,950 1,075,475 3,226,426 1,613,213 4,839,640 2,419,820 1,209,910 604,955 1,814,866 907,433 2,722,300 1,361,150 680,575 2,041,726 1,020,863 3,062,590 1,531,295 4,593,886 2,296,943 6,890,830 3,445,415 10,336,246 5,168,123 15,504,370 7,752,185 23,256,556 11,628,278 5,814,139

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