λ
Modular Archive

1,335,167

1335167
Deficient Odd Prime

The decimal integer 1,335,167 is 101000101111101111111 in binary (21 bits), 5057577 in octal and 145F7F in hexadecimal. Its digit sum is 26.

Prime Factor Structure

Factorization String 1335167
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,335,168
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1335157 ← → #1335199

Radix Representation

Decimal 1335167
Binary 101000101111101111111 (21 bits)
Octal 0o5057577
Hexadecimal 0x145F7F

Divisor Catalog (2)

1 1,335,167

Collatz Trajectory (199 steps to reach 1)

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

1,335,167 4,005,502 2,002,751 6,008,254 3,004,127 9,012,382 4,506,191 13,518,574 6,759,287 20,277,862 10,138,931 30,416,794 15,208,397 45,625,192 22,812,596 11,406,298 5,703,149 17,109,448 8,554,724 4,277,362 2,138,681 6,416,044 3,208,022 1,604,011 4,812,034 2,406,017 7,218,052 3,609,026 1,804,513 5,413,540 2,706,770 1,353,385 4,060,156 2,030,078 1,015,039 3,045,118 1,522,559 4,567,678 2,283,839 6,851,518 3,425,759 10,277,278 5,138,639 15,415,918 7,707,959 23,123,878 11,561,939 34,685,818 17,342,909 52,028,728 26,014,364 13,007,182 6,503,591 19,510,774 9,755,387 29,266,162 14,633,081 43,899,244 21,949,622 10,974,811

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