λ
Prime Ledger

4,277,696

26 × 89 × 751
Abundant Even Composite

4,277,696 has the prime decomposition 2^6 × 89 × 751. Its 3 distinct prime factors produce 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 89 × 751
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 8,595,360
Proper Divisor Sum 4,317,664
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #4277671 ← → #4277699

Radix Representation

Decimal 4277696
Binary 10000010100010111000000 (23 bits)
Octal 0o20242700
Hexadecimal 0x4145C0

Divisor Catalog (28)

1 2 4 8 16 32 64 89 178 356 712 751 1,424 1,502 2,848 3,004 5,696 6,008 12,016 24,032 48,064 66,839 133,678 267,356 534,712 1,069,424 2,138,848 4,277,696

Collatz Trajectory (97 steps to reach 1)

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

4,277,696 2,138,848 1,069,424 534,712 267,356 133,678 66,839 200,518 100,259 300,778 150,389 451,168 225,584 112,792 56,396 28,198 14,099 42,298 21,149 63,448 31,724 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526

More profiles

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