λ
Prime Ledger

3,400,559

37 × 73 × 1259
Deficient Odd Composite

3,400,559 has the prime decomposition 37 × 73 × 1259. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 37 × 73 × 1259
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,543,120
Proper Divisor Sum 142,561
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3400547 ← → #3400577

Radix Representation

Decimal 3400559
Binary 1100111110001101101111 (22 bits)
Octal 0o14761557
Hexadecimal 0x33E36F

Divisor Catalog (8)

1 37 73 1,259 2,701 46,583 91,907 3,400,559

Collatz Trajectory (84 steps to reach 1)

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

3,400,559 10,201,678 5,100,839 15,302,518 7,651,259 22,953,778 11,476,889 34,430,668 17,215,334 8,607,667 25,823,002 12,911,501 38,734,504 19,367,252 9,683,626 4,841,813 14,525,440 7,262,720 3,631,360 1,815,680 907,840 453,920 226,960 113,480 56,740 28,370 14,185 42,556 21,278 10,639 31,918 15,959 47,878 23,939 71,818 35,909 107,728 53,864 26,932 13,466 6,733 20,200 10,100 5,050 2,525 7,576 3,788 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100

More profiles

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