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Atlas › Integer Profiles › Node 6,948,830

6,948,830

2 × 5 × 7 × 53 × 1873
Abundant Even Composite

6,948,830 factors as 2 × 5 × 7 × 53 × 1873. Its 32 positive divisors give a proper-divisor sum of 7,623,394, so this integer is abundant. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 53 × 1873
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,572,224
Proper Divisor Sum 7,623,394
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6948793 ← → #6948847

Radix Representation

Decimal 6948830
Binary 11010100000011111011110 (23 bits)
Octal 0o32403736
Hexadecimal 0x6A07DE

Divisor Catalog (32)

1 2 5 7 10 14 35 53 70 106 265 371 530 742 1,855 1,873 3,710 3,746 9,365 13,111 18,730 26,222 65,555 99,269 131,110 198,538 496,345 694,883 992,690 1,389,766 3,474,415 6,948,830

Collatz Trajectory (253 steps to reach 1)

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

6,948,830 3,474,415 10,423,246 5,211,623 15,634,870 7,817,435 23,452,306 11,726,153 35,178,460 17,589,230 8,794,615 26,383,846 13,191,923 39,575,770 19,787,885 59,363,656 29,681,828 14,840,914 7,420,457 22,261,372 11,130,686 5,565,343 16,696,030 8,348,015 25,044,046 12,522,023 37,566,070 18,783,035 56,349,106 28,174,553 84,523,660 42,261,830 21,130,915 63,392,746 31,696,373 95,089,120 47,544,560 23,772,280 11,886,140 5,943,070 2,971,535 8,914,606 4,457,303 13,371,910 6,685,955 20,057,866 10,028,933 30,086,800 15,043,400 7,521,700 3,760,850 1,880,425 5,641,276 2,820,638 1,410,319 4,230,958 2,115,479 6,346,438 3,173,219 9,519,658

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