55,410,440

2³ × 5 × 53 × 59 × 443

55,410,440 factors as 2^3 × 5 × 53 × 59 × 443. Its 64 positive divisors give a proper-divisor sum of 74,059,960, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 53 × 59 × 443

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 129,470,400

Proper Divisor Sum 74,059,960

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #55410413 ← → #55410449

Radix Representation

Decimal	55410440
Binary	11010011010111111100001000 (26 bits)
Octal	0o323277410
Hexadecimal	0x34D7F08

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 40 53 59 106 118 212 236 265 295 424 443 472 530 590 886 1,060 1,180 1,772 2,120 2,215 2,360 3,127 3,544 4,430 6,254 8,860 12,508 15,635 17,720 23,479 25,016 26,137 31,270 46,958 52,274 62,540 93,916 104,548 117,395 125,080 130,685 187,832 209,096 234,790 261,370 469,580 522,740 939,160 1,045,480 1,385,261 2,770,522 5,541,044 6,926,305

Collatz Trajectory (181 steps to reach 1)

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

55,410,440 27,705,220 13,852,610 6,926,305 20,778,916 10,389,458 5,194,729 15,584,188 7,792,094 3,896,047 11,688,142 5,844,071 17,532,214 8,766,107 26,298,322 13,149,161 39,447,484 19,723,742 9,861,871 29,585,614 14,792,807 44,378,422 22,189,211 66,567,634 33,283,817 99,851,452 49,925,726 24,962,863 74,888,590 37,444,295 112,332,886 56,166,443 168,499,330 84,249,665 252,748,996 126,374,498 63,187,249 189,561,748 94,780,874 47,390,437 142,171,312 71,085,656 35,542,828 17,771,414 8,885,707 26,657,122 13,328,561 39,985,684 19,992,842 9,996,421 29,989,264 14,994,632 7,497,316 3,748,658 1,874,329 5,622,988 2,811,494 1,405,747 4,217,242 2,108,621

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