48,742,834

2 × 7 × 1049 × 3319

48,742,834 factors as 2 × 7 × 1049 × 3319. Its 16 positive divisors give a proper-divisor sum of 34,921,166, so this integer is deficient. The Collatz stopping time is 261 steps.

Prime Factor Structure

Factorization String 2 × 7 × 1049 × 3319

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 83,664,000

Proper Divisor Sum 34,921,166

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #48742787 ← → #48742853

Radix Representation

Decimal	48742834
Binary	10111001111100000110110010 (26 bits)
Octal	0o271740662
Hexadecimal	0x2E7C1B2

Divisor Catalog (16)

1 2 7 14 1,049 2,098 3,319 6,638 7,343 14,686 23,233 46,466 3,481,631 6,963,262 24,371,417 48,742,834

Collatz Trajectory (261 steps to reach 1)

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

48,742,834 24,371,417 73,114,252 36,557,126 18,278,563 54,835,690 27,417,845 82,253,536 41,126,768 20,563,384 10,281,692 5,140,846 2,570,423 7,711,270 3,855,635 11,566,906 5,783,453 17,350,360 8,675,180 4,337,590 2,168,795 6,506,386 3,253,193 9,759,580 4,879,790 2,439,895 7,319,686 3,659,843 10,979,530 5,489,765 16,469,296 8,234,648 4,117,324 2,058,662 1,029,331 3,087,994 1,543,997 4,631,992 2,315,996 1,157,998 578,999 1,736,998 868,499 2,605,498 1,302,749 3,908,248 1,954,124 977,062 488,531 1,465,594 732,797 2,198,392 1,099,196 549,598 274,799 824,398 412,199 1,236,598 618,299 1,854,898

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