λ
Sequence Observatory

5,292,700

22 × 52 × 7 × 7561
Abundant Even Composite

Starting at 5,292,700, the Collatz iteration reaches 1 after 170 steps. The first transition is 2646350; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 7561
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 13,127,632
Proper Divisor Sum 7,834,932
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5292689 ← → #5292709

Radix Representation

Decimal 5292700
Binary 10100001100001010011100 (23 bits)
Octal 0o24141234
Hexadecimal 0x50C29C

Divisor Catalog (36)

1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 7,561 15,122 30,244 37,805 52,927 75,610 105,854 151,220 189,025 211,708 264,635 378,050 529,270 756,100 1,058,540 1,323,175 2,646,350 5,292,700

Collatz Trajectory (170 steps to reach 1)

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

5,292,700 2,646,350 1,323,175 3,969,526 1,984,763 5,954,290 2,977,145 8,931,436 4,465,718 2,232,859 6,698,578 3,349,289 10,047,868 5,023,934 2,511,967 7,535,902 3,767,951 11,303,854 5,651,927 16,955,782 8,477,891 25,433,674 12,716,837 38,150,512 19,075,256 9,537,628 4,768,814 2,384,407 7,153,222 3,576,611 10,729,834 5,364,917 16,094,752 8,047,376 4,023,688 2,011,844 1,005,922 502,961 1,508,884 754,442 377,221 1,131,664 565,832 282,916 141,458 70,729 212,188 106,094 53,047 159,142 79,571 238,714 119,357 358,072 179,036 89,518 44,759 134,278 67,139 201,418

More profiles

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