λ
Sequence Observatory

1,734,360

23 × 3 × 5 × 97 × 149
Abundant Even Composite

Starting at 1,734,360, the Collatz iteration reaches 1 after 101 steps. The first transition is 867180; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 97 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 5,292,000
Proper Divisor Sum 3,557,640
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1734353 ← → #1734367

Radix Representation

Decimal 1734360
Binary 110100111011011011000 (21 bits)
Octal 0o6473330
Hexadecimal 0x1A76D8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 149 194 291 298 388 447 485 582 596 745 776 894 970 1,164 1,192 1,455 1,490 1,788 1,940 2,235 2,328 2,910 2,980 3,576 3,880 4,470 5,820 5,960 8,940 11,640 14,453 17,880 28,906 43,359 57,812 72,265 86,718 115,624 144,530 173,436 216,795 289,060 346,872

Collatz Trajectory (101 steps to reach 1)

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

1,734,360 867,180 433,590 216,795 650,386 325,193 975,580 487,790 243,895 731,686 365,843 1,097,530 548,765 1,646,296 823,148 411,574 205,787 617,362 308,681 926,044 463,022 231,511 694,534 347,267 1,041,802 520,901 1,562,704 781,352 390,676 195,338 97,669 293,008 146,504 73,252 36,626 18,313 54,940 27,470 13,735 41,206 20,603 61,810 30,905 92,716 46,358 23,179 69,538 34,769 104,308 52,154 26,077 78,232 39,116 19,558 9,779 29,338 14,669 44,008 22,004 11,002

More profiles

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