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Atlas › Integer Profiles › Node 2,136,228

2,136,228

22 × 3 × 67 × 2657
Abundant Even Composite

2,136,228 factors as 2^2 × 3 × 67 × 2657. Its 24 positive divisors give a proper-divisor sum of 2,924,604, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 67 × 2657
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,060,832
Proper Divisor Sum 2,924,604
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2136221 ← → #2136247

Radix Representation

Decimal 2136228
Binary 1000001001100010100100 (22 bits)
Octal 0o10114244
Hexadecimal 0x2098A4

Divisor Catalog (24)

1 2 3 4 6 12 67 134 201 268 402 804 2,657 5,314 7,971 10,628 15,942 31,884 178,019 356,038 534,057 712,076 1,068,114 2,136,228

Collatz Trajectory (104 steps to reach 1)

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

2,136,228 1,068,114 534,057 1,602,172 801,086 400,543 1,201,630 600,815 1,802,446 901,223 2,703,670 1,351,835 4,055,506 2,027,753 6,083,260 3,041,630 1,520,815 4,562,446 2,281,223 6,843,670 3,421,835 10,265,506 5,132,753 15,398,260 7,699,130 3,849,565 11,548,696 5,774,348 2,887,174 1,443,587 4,330,762 2,165,381 6,496,144 3,248,072 1,624,036 812,018 406,009 1,218,028 609,014 304,507 913,522 456,761 1,370,284 685,142 342,571 1,027,714 513,857 1,541,572 770,786 385,393 1,156,180 578,090 289,045 867,136 433,568 216,784 108,392 54,196 27,098 13,549

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