λ
Ratio Atlas

7,100,641

7100641
Deficient Odd Prime

7,100,641 factors as 7100641. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 7100641
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,100,642
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #7100617 ← → #7100647

Radix Representation

Decimal 7100641
Binary 11011000101100011100001 (23 bits)
Octal 0o33054341
Hexadecimal 0x6C58E1

Divisor Catalog (2)

Collatz Trajectory (178 steps to reach 1)

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

7,100,641 21,301,924 10,650,962 5,325,481 15,976,444 7,988,222 3,994,111 11,982,334 5,991,167 17,973,502 8,986,751 26,960,254 13,480,127 40,440,382 20,220,191 60,660,574 30,330,287 90,990,862 45,495,431 136,486,294 68,243,147 204,729,442 102,364,721 307,094,164 153,547,082 76,773,541 230,320,624 115,160,312 57,580,156 28,790,078 14,395,039 43,185,118 21,592,559 64,777,678 32,388,839 97,166,518 48,583,259 145,749,778 72,874,889 218,624,668 109,312,334 54,656,167 163,968,502 81,984,251 245,952,754 122,976,377 368,929,132 184,464,566 92,232,283 276,696,850 138,348,425 415,045,276 207,522,638 103,761,319 311,283,958 155,641,979 466,925,938 233,462,969 700,388,908 350,194,454

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