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Atlas › Integer Profiles › Node 2,909,640

2,909,640

23 × 3 × 5 × 24247
Abundant Even Composite

2,909,640 factors as 2^3 × 3 × 5 × 24247. Its 32 positive divisors give a proper-divisor sum of 5,819,640, so this integer is abundant. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 24247
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,729,280
Proper Divisor Sum 5,819,640
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2909633 ← → #2909659

Radix Representation

Decimal 2909640
Binary 1011000110010111001000 (22 bits)
Octal 0o13062710
Hexadecimal 0x2C65C8

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 24,247 48,494 72,741 96,988 121,235 145,482 193,976 242,470 290,964 363,705 484,940 581,928 727,410 969,880 1,454,820 2,909,640

Collatz Trajectory (213 steps to reach 1)

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

2,909,640 1,454,820 727,410 363,705 1,091,116 545,558 272,779 818,338 409,169 1,227,508 613,754 306,877 920,632 460,316 230,158 115,079 345,238 172,619 517,858 258,929 776,788 388,394 194,197 582,592 291,296 145,648 72,824 36,412 18,206 9,103 27,310 13,655 40,966 20,483 61,450 30,725 92,176 46,088 23,044 11,522 5,761 17,284 8,642 4,321 12,964 6,482 3,241 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467

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