3,098,564

2² × 7² × 15809

3,098,564 factors as 2^2 × 7^2 × 15809. Its 18 positive divisors give a proper-divisor sum of 3,209,626, so this integer is abundant. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 15809

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 6,308,190

Proper Divisor Sum 3,209,626

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3098561 ← → #3098597

Radix Representation

Decimal	3098564
Binary	1011110100011111000100 (22 bits)
Octal	0o13643704
Hexadecimal	0x2F47C4

Divisor Catalog (18)

1 2 4 7 14 28 49 98 196 15,809 31,618 63,236 110,663 221,326 442,652 774,641 1,549,282 3,098,564

Collatz Trajectory (195 steps to reach 1)

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

3,098,564 1,549,282 774,641 2,323,924 1,161,962 580,981 1,742,944 871,472 435,736 217,868 108,934 54,467 163,402 81,701 245,104 122,552 61,276 30,638 15,319 45,958 22,979 68,938 34,469 103,408 51,704 25,852 12,926 6,463 19,390 9,695 29,086 14,543 43,630 21,815 65,446 32,723 98,170 49,085 147,256 73,628 36,814 18,407 55,222 27,611 82,834 41,417 124,252 62,126 31,063 93,190 46,595 139,786 69,893 209,680 104,840 52,420 26,210 13,105 39,316 19,658

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