λ
Sequence Observatory
Atlas › Integer Profiles › Node 990,720

990,720

29 × 32 × 5 × 43
Abundant Even Composite

Starting at 990,720, the Collatz iteration reaches 1 after 152 steps. The first transition is 495360; the starting value is even with 120 positive divisors.

Prime Factor Structure

Factorization String 2^9 × 3^2 × 5 × 43
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 3,510,936
Proper Divisor Sum 2,520,216
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #990719 ← → #990733

Radix Representation

Decimal 990720
Binary 11110001111000000000 (20 bits)
Octal 0o3617000
Hexadecimal 0xF1E00

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 43 45 48 60 64 72 80 86 90 96 120 128 129 144 160 172 180 192 215 240 256 258 288 320 344 360 384 387 430 480 512 516 576 640 645 688 720 768 774 860 960

Collatz Trajectory (152 steps to reach 1)

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

990,720 495,360 247,680 123,840 61,920 30,960 15,480 7,740 3,870 1,935 5,806 2,903 8,710 4,355 13,066 6,533 19,600 9,800 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182

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