λ
Match Zalai

1,230,784

26 × 19231
Deficient Even Composite

1,230,784 factors as 2^6 × 19231. Its 14 positive divisors give a proper-divisor sum of 1,211,680, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^6 × 19231
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 14
Divisor Sum (σ) 2,442,464
Proper Divisor Sum 1,211,680
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1230769 ← → #1230791

Radix Representation

Decimal 1230784
Binary 100101100011111000000 (21 bits)
Octal 0o4543700
Hexadecimal 0x12C7C0

Divisor Catalog (14)

1 2 4 8 16 32 64 19,231 38,462 76,924 153,848 307,696 615,392 1,230,784

Collatz Trajectory (173 steps to reach 1)

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

1,230,784 615,392 307,696 153,848 76,924 38,462 19,231 57,694 28,847 86,542 43,271 129,814 64,907 194,722 97,361 292,084 146,042 73,021 219,064 109,532 54,766 27,383 82,150 41,075 123,226 61,613 184,840 92,420 46,210 23,105 69,316 34,658 17,329 51,988 25,994 12,997 38,992 19,496 9,748 4,874 2,437 7,312 3,656 1,828 914 457 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218

More profiles

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