λ
Modular Archive

7,829,201

7829201
Deficient Odd Prime

The decimal integer 7,829,201 is 11101110111011011010001 in binary (23 bits), 35673321 in octal and 7776D1 in hexadecimal. Its digit sum is 29.

Prime Factor Structure

Factorization String 7829201
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,829,202
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7829183 ← → #7829203

Radix Representation

Decimal 7829201
Binary 11101110111011011010001 (23 bits)
Octal 0o35673321
Hexadecimal 0x7776D1

Divisor Catalog (2)

Collatz Trajectory (155 steps to reach 1)

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

7,829,201 23,487,604 11,743,802 5,871,901 17,615,704 8,807,852 4,403,926 2,201,963 6,605,890 3,302,945 9,908,836 4,954,418 2,477,209 7,431,628 3,715,814 1,857,907 5,573,722 2,786,861 8,360,584 4,180,292 2,090,146 1,045,073 3,135,220 1,567,610 783,805 2,351,416 1,175,708 587,854 293,927 881,782 440,891 1,322,674 661,337 1,984,012 992,006 496,003 1,488,010 744,005 2,232,016 1,116,008 558,004 279,002 139,501 418,504 209,252 104,626 52,313 156,940 78,470 39,235 117,706 58,853 176,560 88,280 44,140 22,070 11,035 33,106 16,553 49,660

More profiles

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