λ
Sequence Observatory

2,370,516

22 × 3 × 19 × 37 × 281
Abundant Even Composite

Starting at 2,370,516, the Collatz iteration reaches 1 after 161 steps. The first transition is 1185258; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 37 × 281
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,000,960
Proper Divisor Sum 3,630,444
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2370503 ← → #2370517

Radix Representation

Decimal 2370516
Binary 1001000010101111010100 (22 bits)
Octal 0o11025724
Hexadecimal 0x242BD4

Divisor Catalog (48)

1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 222 228 281 444 562 703 843 1,124 1,406 1,686 2,109 2,812 3,372 4,218 5,339 8,436 10,397 10,678 16,017 20,794 21,356 31,191 32,034 41,588 62,382 64,068 124,764 197,543 395,086 592,629 790,172 1,185,258 2,370,516

Collatz Trajectory (161 steps to reach 1)

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

2,370,516 1,185,258 592,629 1,777,888 888,944 444,472 222,236 111,118 55,559 166,678 83,339 250,018 125,009 375,028 187,514 93,757 281,272 140,636 70,318 35,159 105,478 52,739 158,218 79,109 237,328 118,664 59,332 29,666 14,833 44,500 22,250 11,125 33,376 16,688 8,344 4,172 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71

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