33,677,021

7 × 367 × 13109

33,677,021 factors as 7 × 367 × 13109. Its 8 positive divisors give a proper-divisor sum of 4,918,819, so this integer is deficient. The Collatz stopping time is 351 steps.

Prime Factor Structure

Factorization String 7 × 367 × 13109

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 38,595,840

Proper Divisor Sum 4,918,819

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #33676999 ← → #33677027

Radix Representation

Decimal	33677021
Binary	10000000011101111011011101 (26 bits)
Octal	0o200357335
Hexadecimal	0x201DEDD

Divisor Catalog (8)

1 7 367 2,569 13,109 91,763 4,811,003 33,677,021

Collatz Trajectory (351 steps to reach 1)

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

33,677,021 101,031,064 50,515,532 25,257,766 12,628,883 37,886,650 18,943,325 56,829,976 28,414,988 14,207,494 7,103,747 21,311,242 10,655,621 31,966,864 15,983,432 7,991,716 3,995,858 1,997,929 5,993,788 2,996,894 1,498,447 4,495,342 2,247,671 6,743,014 3,371,507 10,114,522 5,057,261 15,171,784 7,585,892 3,792,946 1,896,473 5,689,420 2,844,710 1,422,355 4,267,066 2,133,533 6,400,600 3,200,300 1,600,150 800,075 2,400,226 1,200,113 3,600,340 1,800,170 900,085 2,700,256 1,350,128 675,064 337,532 168,766 84,383 253,150 126,575 379,726 189,863 569,590 284,795 854,386 427,193 1,281,580

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