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Atlas › Integer Profiles › Node 4,063,696

4,063,696

24 × 7 × 13 × 2791
Abundant Even Composite

4,063,696 factors as 2^4 × 7 × 13 × 2791. Its 40 positive divisors give a proper-divisor sum of 5,630,128, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 13 × 2791
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 9,693,824
Proper Divisor Sum 5,630,128
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4063693 ← → #4063699

Radix Representation

Decimal 4063696
Binary 1111100000000111010000 (22 bits)
Octal 0o17400720
Hexadecimal 0x3E01D0

Divisor Catalog (40)

1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1,456 2,791 5,582 11,164 19,537 22,328 36,283 39,074 44,656 72,566 78,148 145,132 156,296 253,981 290,264 312,592 507,962 580,528 1,015,924 2,031,848 4,063,696

Collatz Trajectory (110 steps to reach 1)

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

4,063,696 2,031,848 1,015,924 507,962 253,981 761,944 380,972 190,486 95,243 285,730 142,865 428,596 214,298 107,149 321,448 160,724 80,362 40,181 120,544 60,272 30,136 15,068 7,534 3,767 11,302 5,651 16,954 8,477 25,432 12,716 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718

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