λ
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Atlas › Integer Profiles › Node 12,801,061

12,801,061

7 × 13 × 41 × 47 × 73
Deficient Odd Composite

12,801,061 factors as 7 × 13 × 41 × 47 × 73. Its 32 positive divisors give a proper-divisor sum of 3,907,547, so this integer is deficient. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 7 × 13 × 41 × 47 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,708,608
Proper Divisor Sum 3,907,547
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #12801049 ← → #12801067

Radix Representation

Decimal 12801061
Binary 110000110101010000100101 (24 bits)
Octal 0o60652045
Hexadecimal 0xC35425

Divisor Catalog (32)

1 7 13 41 47 73 91 287 329 511 533 611 949 1,927 2,993 3,431 3,731 4,277 6,643 13,489 20,951 24,017 25,051 38,909 44,603 140,671 175,357 272,363 312,221 984,697 1,828,723 12,801,061

Collatz Trajectory (122 steps to reach 1)

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

12,801,061 38,403,184 19,201,592 9,600,796 4,800,398 2,400,199 7,200,598 3,600,299 10,800,898 5,400,449 16,201,348 8,100,674 4,050,337 12,151,012 6,075,506 3,037,753 9,113,260 4,556,630 2,278,315 6,834,946 3,417,473 10,252,420 5,126,210 2,563,105 7,689,316 3,844,658 1,922,329 5,766,988 2,883,494 1,441,747 4,325,242 2,162,621 6,487,864 3,243,932 1,621,966 810,983 2,432,950 1,216,475 3,649,426 1,824,713 5,474,140 2,737,070 1,368,535 4,105,606 2,052,803 6,158,410 3,079,205 9,237,616 4,618,808 2,309,404 1,154,702 577,351 1,732,054 866,027 2,598,082 1,299,041 3,897,124 1,948,562 974,281 2,922,844

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