λ
Integer Codex

7,745,002

2 × 79 × 49019
Deficient Even Composite

For 7,745,002, the 8 positive divisors have a total of 11,764,800. Removing 7,745,002 leaves 4,019,798, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 79 × 49019
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,764,800
Proper Divisor Sum 4,019,798
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7744993 ← → #7745011

Radix Representation

Decimal 7745002
Binary 11101100010110111101010 (23 bits)
Octal 0o35426752
Hexadecimal 0x762DEA

Divisor Catalog (8)

1 2 79 158 49,019 98,038 3,872,501 7,745,002

Collatz Trajectory (186 steps to reach 1)

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

7,745,002 3,872,501 11,617,504 5,808,752 2,904,376 1,452,188 726,094 363,047 1,089,142 544,571 1,633,714 816,857 2,450,572 1,225,286 612,643 1,837,930 918,965 2,756,896 1,378,448 689,224 344,612 172,306 86,153 258,460 129,230 64,615 193,846 96,923 290,770 145,385 436,156 218,078 109,039 327,118 163,559 490,678 245,339 736,018 368,009 1,104,028 552,014 276,007 828,022 414,011 1,242,034 621,017 1,863,052 931,526 465,763 1,397,290 698,645 2,095,936 1,047,968 523,984 261,992 130,996 65,498 32,749 98,248 49,124

More profiles

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