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Atlas › Integer Profiles › Node 2,115,280

2,115,280

24 × 5 × 137 × 193
Abundant Even Composite

2,115,280 factors as 2^4 × 5 × 137 × 193. Its 40 positive divisors give a proper-divisor sum of 2,864,312, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 137 × 193
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 4,979,592
Proper Divisor Sum 2,864,312
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2115277 ← → #2115301

Radix Representation

Decimal 2115280
Binary 1000000100011011010000 (22 bits)
Octal 0o10043320
Hexadecimal 0x2046D0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 137 193 274 386 548 685 772 965 1,096 1,370 1,544 1,930 2,192 2,740 3,088 3,860 5,480 7,720 10,960 15,440 26,441 52,882 105,764 132,205 211,528 264,410 423,056 528,820 1,057,640 2,115,280

Collatz Trajectory (166 steps to reach 1)

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

2,115,280 1,057,640 528,820 264,410 132,205 396,616 198,308 99,154 49,577 148,732 74,366 37,183 111,550 55,775 167,326 83,663 250,990 125,495 376,486 188,243 564,730 282,365 847,096 423,548 211,774 105,887 317,662 158,831 476,494 238,247 714,742 357,371 1,072,114 536,057 1,608,172 804,086 402,043 1,206,130 603,065 1,809,196 904,598 452,299 1,356,898 678,449 2,035,348 1,017,674 508,837 1,526,512 763,256 381,628 190,814 95,407 286,222 143,111 429,334 214,667 644,002 322,001 966,004 483,002

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