λ
Zalai Atlas

7,607,872

26 × 118873
Deficient Even Composite

7,607,872 has the prime decomposition 2^6 × 118873. Its 2 distinct prime factors produce 14 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 118873
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 14
Divisor Sum (σ) 15,096,998
Proper Divisor Sum 7,489,126
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7607869 ← → #7607879

Radix Representation

Decimal 7607872
Binary 11101000001011001000000 (23 bits)
Octal 0o35013100
Hexadecimal 0x741640

Divisor Catalog (14)

1 2 4 8 16 32 64 118,873 237,746 475,492 950,984 1,901,968 3,803,936 7,607,872

Collatz Trajectory (80 steps to reach 1)

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

7,607,872 3,803,936 1,901,968 950,984 475,492 237,746 118,873 356,620 178,310 89,155 267,466 133,733 401,200 200,600 100,300 50,150 25,075 75,226 37,613 112,840 56,420 28,210 14,105 42,316 21,158 10,579 31,738 15,869 47,608 23,804 11,902 5,951 17,854 8,927 26,782 13,391 40,174 20,087 60,262 30,131 90,394 45,197 135,592 67,796 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589 4,768 2,384 1,192 596 298 149 448 224

More profiles

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