978,940

2² × 5 × 48947

978,940 factors as 2^2 × 5 × 48947. Its 12 positive divisors give a proper-divisor sum of 1,076,876, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 48947

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,055,816

Proper Divisor Sum 1,076,876

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #978931 ← → #978947

Radix Representation

Decimal	978940
Binary	11101110111111111100 (20 bits)
Octal	0o3567774
Hexadecimal	0xEEFFC

Divisor Catalog (12)

1 2 4 5 10 20 48,947 97,894 195,788 244,735 489,470 978,940

Collatz Trajectory (170 steps to reach 1)

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

978,940 489,470 244,735 734,206 367,103 1,101,310 550,655 1,651,966 825,983 2,477,950 1,238,975 3,716,926 1,858,463 5,575,390 2,787,695 8,363,086 4,181,543 12,544,630 6,272,315 18,816,946 9,408,473 28,225,420 14,112,710 7,056,355 21,169,066 10,584,533 31,753,600 15,876,800 7,938,400 3,969,200 1,984,600 992,300 496,150 248,075 744,226 372,113 1,116,340 558,170 279,085 837,256 418,628 209,314 104,657 313,972 156,986 78,493 235,480 117,740 58,870 29,435 88,306 44,153 132,460 66,230 33,115 99,346 49,673 149,020 74,510 37,255

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