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Modular Archive

626,629

626629
Deficient Odd Prime

The decimal integer 626,629 is 10011000111111000101 in binary (20 bits), 2307705 in octal and 98FC5 in hexadecimal. Its digit sum is 31.

Prime Factor Structure

Factorization String 626629
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 626,630
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #626627 ← → #626663

Radix Representation

Decimal 626629
Binary 10011000111111000101 (20 bits)
Octal 0o2307705
Hexadecimal 0x98FC5

Divisor Catalog (2)

Collatz Trajectory (79 steps to reach 1)

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

626,629 1,879,888 939,944 469,972 234,986 117,493 352,480 176,240 88,120 44,060 22,030 11,015 33,046 16,523 49,570 24,785 74,356 37,178 18,589 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112

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