2,137,372

2² × 47 × 11369

2,137,372 factors as 2^2 × 47 × 11369. Its 12 positive divisors give a proper-divisor sum of 1,682,948, so this integer is deficient. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2^2 × 47 × 11369

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,820,320

Proper Divisor Sum 1,682,948

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #2137361 ← → #2137391

Radix Representation

Decimal	2137372
Binary	1000001001110100011100 (22 bits)
Octal	0o10116434
Hexadecimal	0x209D1C

Divisor Catalog (12)

1 2 4 47 94 188 11,369 22,738 45,476 534,343 1,068,686 2,137,372

Collatz Trajectory (78 steps to reach 1)

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

2,137,372 1,068,686 534,343 1,603,030 801,515 2,404,546 1,202,273 3,606,820 1,803,410 901,705 2,705,116 1,352,558 676,279 2,028,838 1,014,419 3,043,258 1,521,629 4,564,888 2,282,444 1,141,222 570,611 1,711,834 855,917 2,567,752 1,283,876 641,938 320,969 962,908 481,454 240,727 722,182 361,091 1,083,274 541,637 1,624,912 812,456 406,228 203,114 101,557 304,672 152,336 76,168 38,084 19,042 9,521 28,564 14,282 7,141 21,424 10,712 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261

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