2,507,834

2 × 7 × 271 × 661

2,507,834 factors as 2 × 7 × 271 × 661. Its 16 positive divisors give a proper-divisor sum of 1,813,702, so this integer is deficient. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 2 × 7 × 271 × 661

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,321,536

Proper Divisor Sum 1,813,702

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #2507821 ← → #2507837

Radix Representation

Decimal	2507834
Binary	1001100100010000111010 (22 bits)
Octal	0o11442072
Hexadecimal	0x26443A

Divisor Catalog (16)

1 2 7 14 271 542 661 1,322 1,897 3,794 4,627 9,254 179,131 358,262 1,253,917 2,507,834

Collatz Trajectory (205 steps to reach 1)

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

2,507,834 1,253,917 3,761,752 1,880,876 940,438 470,219 1,410,658 705,329 2,115,988 1,057,994 528,997 1,586,992 793,496 396,748 198,374 99,187 297,562 148,781 446,344 223,172 111,586 55,793 167,380 83,690 41,845 125,536 62,768 31,384 15,692 7,846 3,923 11,770 5,885 17,656 8,828 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498

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