λ
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Atlas › Integer Profiles › Node 2,625,196

2,625,196

22 × 7 × 29 × 53 × 61
Abundant Even Composite

2,625,196 factors as 2^2 × 7 × 29 × 53 × 61. Its 48 positive divisors give a proper-divisor sum of 2,999,444, so this integer is abundant. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 29 × 53 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,624,640
Proper Divisor Sum 2,999,444
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2625169 ← → #2625223

Radix Representation

Decimal 2625196
Binary 1010000000111010101100 (22 bits)
Octal 0o12007254
Hexadecimal 0x280EAC

Divisor Catalog (48)

1 2 4 7 14 28 29 53 58 61 106 116 122 203 212 244 371 406 427 742 812 854 1,484 1,537 1,708 1,769 3,074 3,233 3,538 6,148 6,466 7,076 10,759 12,383 12,932 21,518 22,631 24,766 43,036 45,262 49,532 90,524 93,757 187,514 375,028 656,299 1,312,598 2,625,196

Collatz Trajectory (156 steps to reach 1)

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

2,625,196 1,312,598 656,299 1,968,898 984,449 2,953,348 1,476,674 738,337 2,215,012 1,107,506 553,753 1,661,260 830,630 415,315 1,245,946 622,973 1,868,920 934,460 467,230 233,615 700,846 350,423 1,051,270 525,635 1,576,906 788,453 2,365,360 1,182,680 591,340 295,670 147,835 443,506 221,753 665,260 332,630 166,315 498,946 249,473 748,420 374,210 187,105 561,316 280,658 140,329 420,988 210,494 105,247 315,742 157,871 473,614 236,807 710,422 355,211 1,065,634 532,817 1,598,452 799,226 399,613 1,198,840 599,420

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