λ
Integer Codex

7,628,021

7628021
Deficient Odd Prime

For 7,628,021, the 2 positive divisors have a total of 7,628,022. Removing 7,628,021 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 7628021
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,628,022
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7628011 ← → #7628039

Radix Representation

Decimal 7628021
Binary 11101000110010011110101 (23 bits)
Octal 0o35062365
Hexadecimal 0x7464F5

Divisor Catalog (2)

Collatz Trajectory (248 steps to reach 1)

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

7,628,021 22,884,064 11,442,032 5,721,016 2,860,508 1,430,254 715,127 2,145,382 1,072,691 3,218,074 1,609,037 4,827,112 2,413,556 1,206,778 603,389 1,810,168 905,084 452,542 226,271 678,814 339,407 1,018,222 509,111 1,527,334 763,667 2,291,002 1,145,501 3,436,504 1,718,252 859,126 429,563 1,288,690 644,345 1,933,036 966,518 483,259 1,449,778 724,889 2,174,668 1,087,334 543,667 1,631,002 815,501 2,446,504 1,223,252 611,626 305,813 917,440 458,720 229,360 114,680 57,340 28,670 14,335 43,006 21,503 64,510 32,255 96,766 48,383

More profiles

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