λ
Math Directory

1,198,751

1198751
Deficient Odd Prime

1,198,751 factors as 1198751. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 1198751
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,198,752
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1198727 ← → #1198793

Radix Representation

Decimal 1198751
Binary 100100100101010011111 (21 bits)
Octal 0o4445237
Hexadecimal 0x124A9F

Divisor Catalog (2)

Collatz Trajectory (142 steps to reach 1)

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

1,198,751 3,596,254 1,798,127 5,394,382 2,697,191 8,091,574 4,045,787 12,137,362 6,068,681 18,206,044 9,103,022 4,551,511 13,654,534 6,827,267 20,481,802 10,240,901 30,722,704 15,361,352 7,680,676 3,840,338 1,920,169 5,760,508 2,880,254 1,440,127 4,320,382 2,160,191 6,480,574 3,240,287 9,720,862 4,860,431 14,581,294 7,290,647 21,871,942 10,935,971 32,807,914 16,403,957 49,211,872 24,605,936 12,302,968 6,151,484 3,075,742 1,537,871 4,613,614 2,306,807 6,920,422 3,460,211 10,380,634 5,190,317 15,570,952 7,785,476 3,892,738 1,946,369 5,839,108 2,919,554 1,459,777 4,379,332 2,189,666 1,094,833 3,284,500 1,642,250

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