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Atlas › Integer Profiles › Node 8,307,873

8,307,873

33 × 7 × 113 × 389
Deficient Odd Composite

8,307,873 factors as 3^3 × 7 × 113 × 389. Its 32 positive divisors give a proper-divisor sum of 5,919,327, so this integer is deficient. The Collatz stopping time is 297 steps.

Prime Factor Structure

Factorization String 3^3 × 7 × 113 × 389
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,227,200
Proper Divisor Sum 5,919,327
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8307863 ← → #8307881

Radix Representation

Decimal 8307873
Binary 11111101100010010100001 (23 bits)
Octal 0o37542241
Hexadecimal 0x7EC4A1

Divisor Catalog (32)

1 3 7 9 21 27 63 113 189 339 389 791 1,017 1,167 2,373 2,723 3,051 3,501 7,119 8,169 10,503 21,357 24,507 43,957 73,521 131,871 307,699 395,613 923,097 1,186,839 2,769,291 8,307,873

Collatz Trajectory (297 steps to reach 1)

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

8,307,873 24,923,620 12,461,810 6,230,905 18,692,716 9,346,358 4,673,179 14,019,538 7,009,769 21,029,308 10,514,654 5,257,327 15,771,982 7,885,991 23,657,974 11,828,987 35,486,962 17,743,481 53,230,444 26,615,222 13,307,611 39,922,834 19,961,417 59,884,252 29,942,126 14,971,063 44,913,190 22,456,595 67,369,786 33,684,893 101,054,680 50,527,340 25,263,670 12,631,835 37,895,506 18,947,753 56,843,260 28,421,630 14,210,815 42,632,446 21,316,223 63,948,670 31,974,335 95,923,006 47,961,503 143,884,510 71,942,255 215,826,766 107,913,383 323,740,150 161,870,075 485,610,226 242,805,113 728,415,340 364,207,670 182,103,835 546,311,506 273,155,753 819,467,260 409,733,630

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