λ
Sigma Notebook

1,157,231

612 × 311
Deficient Odd Composite

1,157,231 is odd and not a perfect square. Its factorization is 61^2 × 311 and its 6 divisors sum to 1,180,296.

Prime Factor Structure

Factorization String 61^2 × 311
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,180,296
Proper Divisor Sum 23,065
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1157227 ← → #1157237

Radix Representation

Decimal 1157231
Binary 100011010100001101111 (21 bits)
Octal 0o4324157
Hexadecimal 0x11A86F

Divisor Catalog (6)

1 61 311 3,721 18,971 1,157,231

Collatz Trajectory (209 steps to reach 1)

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

1,157,231 3,471,694 1,735,847 5,207,542 2,603,771 7,811,314 3,905,657 11,716,972 5,858,486 2,929,243 8,787,730 4,393,865 13,181,596 6,590,798 3,295,399 9,886,198 4,943,099 14,829,298 7,414,649 22,243,948 11,121,974 5,560,987 16,682,962 8,341,481 25,024,444 12,512,222 6,256,111 18,768,334 9,384,167 28,152,502 14,076,251 42,228,754 21,114,377 63,343,132 31,671,566 15,835,783 47,507,350 23,753,675 71,261,026 35,630,513 106,891,540 53,445,770 26,722,885 80,168,656 40,084,328 20,042,164 10,021,082 5,010,541 15,031,624 7,515,812 3,757,906 1,878,953 5,636,860 2,818,430 1,409,215 4,227,646 2,113,823 6,341,470 3,170,735 9,512,206

More profiles

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