2,137,367

19 × 23 × 67 × 73

2,137,367 factors as 19 × 23 × 67 × 73. Its 16 positive divisors give a proper-divisor sum of 277,993, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 19 × 23 × 67 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,415,360

Proper Divisor Sum 277,993

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #2137361 ← → #2137391

Radix Representation

Decimal	2137367
Binary	1000001001110100010111 (22 bits)
Octal	0o10116427
Hexadecimal	0x209D17

Divisor Catalog (16)

1 19 23 67 73 437 1,273 1,387 1,541 1,679 4,891 29,279 31,901 92,929 112,493 2,137,367

Collatz Trajectory (135 steps to reach 1)

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

2,137,367 6,412,102 3,206,051 9,618,154 4,809,077 14,427,232 7,213,616 3,606,808 1,803,404 901,702 450,851 1,352,554 676,277 2,028,832 1,014,416 507,208 253,604 126,802 63,401 190,204 95,102 47,551 142,654 71,327 213,982 106,991 320,974 160,487 481,462 240,731 722,194 361,097 1,083,292 541,646 270,823 812,470 406,235 1,218,706 609,353 1,828,060 914,030 457,015 1,371,046 685,523 2,056,570 1,028,285 3,084,856 1,542,428 771,214 385,607 1,156,822 578,411 1,735,234 867,617 2,602,852 1,301,426 650,713 1,952,140 976,070 488,035

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