3,581,998

2 × 7² × 36551

3,581,998 factors as 2 × 7^2 × 36551. Its 12 positive divisors give a proper-divisor sum of 2,668,394, so this integer is deficient. The Collatz stopping time is 221 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 36551

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,250,392

Proper Divisor Sum 2,668,394

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #3581971 ← → #3581999

Radix Representation

Decimal	3581998
Binary	1101101010100000101110 (22 bits)
Octal	0o15524056
Hexadecimal	0x36A82E

Divisor Catalog (12)

1 2 7 14 49 98 36,551 73,102 255,857 511,714 1,790,999 3,581,998

Collatz Trajectory (221 steps to reach 1)

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

3,581,998 1,790,999 5,372,998 2,686,499 8,059,498 4,029,749 12,089,248 6,044,624 3,022,312 1,511,156 755,578 377,789 1,133,368 566,684 283,342 141,671 425,014 212,507 637,522 318,761 956,284 478,142 239,071 717,214 358,607 1,075,822 537,911 1,613,734 806,867 2,420,602 1,210,301 3,630,904 1,815,452 907,726 453,863 1,361,590 680,795 2,042,386 1,021,193 3,063,580 1,531,790 765,895 2,297,686 1,148,843 3,446,530 1,723,265 5,169,796 2,584,898 1,292,449 3,877,348 1,938,674 969,337 2,908,012 1,454,006 727,003 2,181,010 1,090,505 3,271,516 1,635,758 817,879

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