λ
Sequence Observatory

2,930,120

23 × 5 × 17 × 31 × 139
Abundant Even Composite

Starting at 2,930,120, the Collatz iteration reaches 1 after 120 steps. The first transition is 1465060; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 17 × 31 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 7,257,600
Proper Divisor Sum 4,327,480
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2930119 ← → #2930153

Radix Representation

Decimal 2930120
Binary 1011001011010111001000 (22 bits)
Octal 0o13132710
Hexadecimal 0x2CB5C8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 139 155 170 248 278 310 340 527 556 620 680 695 1,054 1,112 1,240 1,390 2,108 2,363 2,635 2,780 4,216 4,309 4,726 5,270 5,560 8,618 9,452 10,540 11,815 17,236 18,904 21,080 21,545 23,630 34,472 43,090 47,260 73,253 86,180 94,520 146,506 172,360 293,012 366,265

Collatz Trajectory (120 steps to reach 1)

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

2,930,120 1,465,060 732,530 366,265 1,098,796 549,398 274,699 824,098 412,049 1,236,148 618,074 309,037 927,112 463,556 231,778 115,889 347,668 173,834 86,917 260,752 130,376 65,188 32,594 16,297 48,892 24,446 12,223 36,670 18,335 55,006 27,503 82,510 41,255 123,766 61,883 185,650 92,825 278,476 139,238 69,619 208,858 104,429 313,288 156,644 78,322 39,161 117,484 58,742 29,371 88,114 44,057 132,172 66,086 33,043 99,130 49,565 148,696 74,348 37,174 18,587

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