54,372,960

2⁵ × 3² × 5 × 61 × 619

54,372,960 factors as 2^5 × 3^2 × 5 × 61 × 619. Its 144 positive divisors give a proper-divisor sum of 134,521,200, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 61 × 619

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 188,894,160

Proper Divisor Sum 134,521,200

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #54372959 ← → #54372973

Radix Representation

Decimal	54372960
Binary	11001111011010101001100000 (26 bits)
Octal	0o317325140
Hexadecimal	0x33DAA60

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 61 72 80 90 96 120 122 144 160 180 183 240 244 288 305 360 366 480 488 549 610 619 720 732 915 976 1,098 1,220 1,238 1,440 1,464 1,830 1,857 1,952 2,196 2,440 2,476 2,745

Collatz Trajectory (150 steps to reach 1)

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

54,372,960 27,186,480 13,593,240 6,796,620 3,398,310 1,699,155 5,097,466 2,548,733 7,646,200 3,823,100 1,911,550 955,775 2,867,326 1,433,663 4,300,990 2,150,495 6,451,486 3,225,743 9,677,230 4,838,615 14,515,846 7,257,923 21,773,770 10,886,885 32,660,656 16,330,328 8,165,164 4,082,582 2,041,291 6,123,874 3,061,937 9,185,812 4,592,906 2,296,453 6,889,360 3,444,680 1,722,340 861,170 430,585 1,291,756 645,878 322,939 968,818 484,409 1,453,228 726,614 363,307 1,089,922 544,961 1,634,884 817,442 408,721 1,226,164 613,082 306,541 919,624 459,812 229,906 114,953 344,860

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