4,697,244

2² × 3³ × 23 × 31 × 61

4,697,244 factors as 2^2 × 3^3 × 23 × 31 × 61. Its 96 positive divisors give a proper-divisor sum of 8,635,236, so this integer is abundant. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 23 × 31 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 13,332,480

Proper Divisor Sum 8,635,236

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4697239 ← → #4697249

Radix Representation

Decimal	4697244
Binary	10001111010110010011100 (23 bits)
Octal	0o21726234
Hexadecimal	0x47AC9C

Divisor Catalog (60 of 96)

1 2 3 4 6 9 12 18 23 27 31 36 46 54 61 62 69 92 93 108 122 124 138 183 186 207 244 276 279 366 372 414 549 558 621 713 732 828 837 1,098 1,116 1,242 1,403 1,426 1,647 1,674 1,891 2,139 2,196 2,484 2,806 2,852 3,294 3,348 3,782 4,209 4,278 5,612 5,673 6,417

Collatz Trajectory (206 steps to reach 1)

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

4,697,244 2,348,622 1,174,311 3,522,934 1,761,467 5,284,402 2,642,201 7,926,604 3,963,302 1,981,651 5,944,954 2,972,477 8,917,432 4,458,716 2,229,358 1,114,679 3,344,038 1,672,019 5,016,058 2,508,029 7,524,088 3,762,044 1,881,022 940,511 2,821,534 1,410,767 4,232,302 2,116,151 6,348,454 3,174,227 9,522,682 4,761,341 14,284,024 7,142,012 3,571,006 1,785,503 5,356,510 2,678,255 8,034,766 4,017,383 12,052,150 6,026,075 18,078,226 9,039,113 27,117,340 13,558,670 6,779,335 20,338,006 10,169,003 30,507,010 15,253,505 45,760,516 22,880,258 11,440,129 34,320,388 17,160,194 8,580,097 25,740,292 12,870,146 6,435,073

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