48,752,200

2³ × 5² × 7 × 97 × 359

48,752,200 factors as 2^3 × 5^2 × 7 × 97 × 359. Its 96 positive divisors give a proper-divisor sum of 82,489,400, so this integer is abundant. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7 × 97 × 359

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 131,241,600

Proper Divisor Sum 82,489,400

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #48752191 ← → #48752201

Radix Representation

Decimal	48752200
Binary	10111001111110011001001000 (26 bits)
Octal	0o271763110
Hexadecimal	0x2E7E648

Divisor Catalog (60 of 96)

1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 97 100 140 175 194 200 280 350 359 388 485 679 700 718 776 970 1,358 1,400 1,436 1,795 1,940 2,425 2,513 2,716 2,872 3,395 3,590 3,880 4,850 5,026 5,432 6,790 7,180 8,975 9,700 10,052 12,565 13,580 14,360 16,975 17,950 19,400 20,104 25,130

Collatz Trajectory (230 steps to reach 1)

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

48,752,200 24,376,100 12,188,050 6,094,025 18,282,076 9,141,038 4,570,519 13,711,558 6,855,779 20,567,338 10,283,669 30,851,008 15,425,504 7,712,752 3,856,376 1,928,188 964,094 482,047 1,446,142 723,071 2,169,214 1,084,607 3,253,822 1,626,911 4,880,734 2,440,367 7,321,102 3,660,551 10,981,654 5,490,827 16,472,482 8,236,241 24,708,724 12,354,362 6,177,181 18,531,544 9,265,772 4,632,886 2,316,443 6,949,330 3,474,665 10,423,996 5,211,998 2,605,999 7,817,998 3,908,999 11,726,998 5,863,499 17,590,498 8,795,249 26,385,748 13,192,874 6,596,437 19,789,312 9,894,656 4,947,328 2,473,664 1,236,832 618,416 309,208

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