λ
Integer Codex

9,202,961

9202961
Deficient Odd Prime

For 9,202,961, the 2 positive divisors have a total of 9,202,962. Removing 9,202,961 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 9202961
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,202,962
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9202937 ← → #9202981

Radix Representation

Decimal 9202961
Binary 100011000110110100010001 (24 bits)
Octal 0o43066421
Hexadecimal 0x8C6D11

Divisor Catalog (2)

Collatz Trajectory (181 steps to reach 1)

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

9,202,961 27,608,884 13,804,442 6,902,221 20,706,664 10,353,332 5,176,666 2,588,333 7,765,000 3,882,500 1,941,250 970,625 2,911,876 1,455,938 727,969 2,183,908 1,091,954 545,977 1,637,932 818,966 409,483 1,228,450 614,225 1,842,676 921,338 460,669 1,382,008 691,004 345,502 172,751 518,254 259,127 777,382 388,691 1,166,074 583,037 1,749,112 874,556 437,278 218,639 655,918 327,959 983,878 491,939 1,475,818 737,909 2,213,728 1,106,864 553,432 276,716 138,358 69,179 207,538 103,769 311,308 155,654 77,827 233,482 116,741 350,224

More profiles

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