48,365,260

2² × 5 × 19 × 127277

48,365,260 factors as 2^2 × 5 × 19 × 127277. Its 24 positive divisors give a proper-divisor sum of 58,548,260, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 19 × 127277

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 106,913,520

Proper Divisor Sum 58,548,260

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #48365257 ← → #48365269

Radix Representation

Decimal	48365260
Binary	10111000011111111011001100 (26 bits)
Octal	0o270377314
Hexadecimal	0x2E1FECC

Divisor Catalog (24)

Collatz Trajectory (93 steps to reach 1)

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

48,365,260 24,182,630 12,091,315 36,273,946 18,136,973 54,410,920 27,205,460 13,602,730 6,801,365 20,404,096 10,202,048 5,101,024 2,550,512 1,275,256 637,628 318,814 159,407 478,222 239,111 717,334 358,667 1,076,002 538,001 1,614,004 807,002 403,501 1,210,504 605,252 302,626 151,313 453,940 226,970 113,485 340,456 170,228 85,114 42,557 127,672 63,836 31,918 15,959 47,878 23,939 71,818 35,909 107,728 53,864 26,932 13,466 6,733 20,200 10,100 5,050 2,525 7,576 3,788 1,894 947 2,842 1,421

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