48,827,376

2⁴ × 3² × 13 × 26083

48,827,376 factors as 2^4 × 3^2 × 13 × 26083. Its 60 positive divisors give a proper-divisor sum of 98,338,552, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 13 × 26083

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 147,165,928

Proper Divisor Sum 98,338,552

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #48827371 ← → #48827381

Radix Representation

Decimal	48827376
Binary	10111010010000101111110000 (26 bits)
Octal	0o272205760
Hexadecimal	0x2E90BF0

Divisor Catalog (60)

1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1,872 26,083 52,166 78,249 104,332 156,498 208,664 234,747 312,996 339,079 417,328 469,494 625,992 678,158 938,988 1,017,237 1,251,984 1,356,316 1,877,976 2,034,474 2,712,632 3,051,711 3,755,952 4,068,948 5,425,264 6,103,422 8,137,896 12,206,844 16,275,792 24,413,688 48,827,376

Collatz Trajectory (186 steps to reach 1)

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

48,827,376 24,413,688 12,206,844 6,103,422 3,051,711 9,155,134 4,577,567 13,732,702 6,866,351 20,599,054 10,299,527 30,898,582 15,449,291 46,347,874 23,173,937 69,521,812 34,760,906 17,380,453 52,141,360 26,070,680 13,035,340 6,517,670 3,258,835 9,776,506 4,888,253 14,664,760 7,332,380 3,666,190 1,833,095 5,499,286 2,749,643 8,248,930 4,124,465 12,373,396 6,186,698 3,093,349 9,280,048 4,640,024 2,320,012 1,160,006 580,003 1,740,010 870,005 2,610,016 1,305,008 652,504 326,252 163,126 81,563 244,690 122,345 367,036 183,518 91,759 275,278 137,639 412,918 206,459 619,378 309,689

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