2,152,010

2 × 5 × 7 × 71 × 433

Starting at 2,152,010, the Collatz iteration reaches 1 after 73 steps. The first transition is 1076005; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 71 × 433

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 4,499,712

Proper Divisor Sum 2,347,702

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #2152009 ← → #2152037

Radix Representation

Decimal	2152010
Binary	1000001101011001001010 (22 bits)
Octal	0o10153112
Hexadecimal	0x20D64A

Divisor Catalog (32)

1 2 5 7 10 14 35 70 71 142 355 433 497 710 866 994 2,165 2,485 3,031 4,330 4,970 6,062 15,155 30,310 30,743 61,486 153,715 215,201 307,430 430,402 1,076,005 2,152,010

Collatz Trajectory (73 steps to reach 1)

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

2,152,010 1,076,005 3,228,016 1,614,008 807,004 403,502 201,751 605,254 302,627 907,882 453,941 1,361,824 680,912 340,456 170,228 85,114 42,557 127,672 63,836 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 50 25 76 38 19 58 29 88 44 22 11

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