4,375,404

2² × 3³ × 11 × 29 × 127

4,375,404 factors as 2^2 × 3^3 × 11 × 29 × 127. Its 96 positive divisors give a proper-divisor sum of 8,526,996, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 11 × 29 × 127

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 12,902,400

Proper Divisor Sum 8,526,996

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4375403 ← → #4375411

Radix Representation

Decimal	4375404
Binary	10000101100001101101100 (23 bits)
Octal	0o20541554
Hexadecimal	0x42C36C

Divisor Catalog (60 of 96)

1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 87 99 108 116 127 132 174 198 254 261 297 319 348 381 396 508 522 594 638 762 783 957 1,044 1,143 1,188 1,276 1,397 1,524 1,566 1,914 2,286 2,794 2,871 3,132 3,429 3,683 3,828 4,191 4,572 5,588 5,742 6,858

Collatz Trajectory (180 steps to reach 1)

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

4,375,404 2,187,702 1,093,851 3,281,554 1,640,777 4,922,332 2,461,166 1,230,583 3,691,750 1,845,875 5,537,626 2,768,813 8,306,440 4,153,220 2,076,610 1,038,305 3,114,916 1,557,458 778,729 2,336,188 1,168,094 584,047 1,752,142 876,071 2,628,214 1,314,107 3,942,322 1,971,161 5,913,484 2,956,742 1,478,371 4,435,114 2,217,557 6,652,672 3,326,336 1,663,168 831,584 415,792 207,896 103,948 51,974 25,987 77,962 38,981 116,944 58,472 29,236 14,618 7,309 21,928 10,964 5,482 2,741 8,224 4,112 2,056 1,028 514 257 772

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