λ
Integer Codex

8,721,101

8721101
Deficient Odd Prime

For 8,721,101, the 2 positive divisors have a total of 8,721,102. Removing 8,721,101 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 8721101
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,721,102
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #8721079 ← → #8721121

Radix Representation

Decimal 8721101
Binary 100001010001001011001101 (24 bits)
Octal 0o41211315
Hexadecimal 0x8512CD

Divisor Catalog (2)

Collatz Trajectory (168 steps to reach 1)

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

8,721,101 26,163,304 13,081,652 6,540,826 3,270,413 9,811,240 4,905,620 2,452,810 1,226,405 3,679,216 1,839,608 919,804 459,902 229,951 689,854 344,927 1,034,782 517,391 1,552,174 776,087 2,328,262 1,164,131 3,492,394 1,746,197 5,238,592 2,619,296 1,309,648 654,824 327,412 163,706 81,853 245,560 122,780 61,390 30,695 92,086 46,043 138,130 69,065 207,196 103,598 51,799 155,398 77,699 233,098 116,549 349,648 174,824 87,412 43,706 21,853 65,560 32,780 16,390 8,195 24,586 12,293 36,880 18,440 9,220

More profiles

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