49,220,080

2⁴ × 5 × 7 × 13 × 6761

49,220,080 factors as 2^4 × 5 × 7 × 13 × 6761. Its 80 positive divisors give a proper-divisor sum of 91,645,904, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 13 × 6761

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 140,865,984

Proper Divisor Sum 91,645,904

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #49220071 ← → #49220099

Radix Representation

Decimal	49220080
Binary	10111011110000100111110000 (26 bits)
Octal	0o273604760
Hexadecimal	0x2EF09F0

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1,040 1,456 1,820 3,640 6,761 7,280 13,522 27,044 33,805 47,327 54,088 67,610 87,893 94,654 108,176 135,220 175,786 189,308 236,635 270,440 351,572 378,616 439,465 473,270 540,880

Collatz Trajectory (124 steps to reach 1)

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

49,220,080 24,610,040 12,305,020 6,152,510 3,076,255 9,228,766 4,614,383 13,843,150 6,921,575 20,764,726 10,382,363 31,147,090 15,573,545 46,720,636 23,360,318 11,680,159 35,040,478 17,520,239 52,560,718 26,280,359 78,841,078 39,420,539 118,261,618 59,130,809 177,392,428 88,696,214 44,348,107 133,044,322 66,522,161 199,566,484 99,783,242 49,891,621 149,674,864 74,837,432 37,418,716 18,709,358 9,354,679 28,064,038 14,032,019 42,096,058 21,048,029 63,144,088 31,572,044 15,786,022 7,893,011 23,679,034 11,839,517 35,518,552 17,759,276 8,879,638 4,439,819 13,319,458 6,659,729 19,979,188 9,989,594 4,994,797 14,984,392 7,492,196 3,746,098 1,873,049

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