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Atlas › Integer Profiles › Node 3,967,928

3,967,928

23 × 47 × 61 × 173
Deficient Even Composite

3,967,928 factors as 2^3 × 47 × 61 × 173. Its 32 positive divisors give a proper-divisor sum of 3,799,432, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^3 × 47 × 61 × 173
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,767,360
Proper Divisor Sum 3,799,432
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #3967913 ← → #3967961

Radix Representation

Decimal 3967928
Binary 1111001000101110111000 (22 bits)
Octal 0o17105670
Hexadecimal 0x3C8BB8

Divisor Catalog (32)

1 2 4 8 47 61 94 122 173 188 244 346 376 488 692 1,384 2,867 5,734 8,131 10,553 11,468 16,262 21,106 22,936 32,524 42,212 65,048 84,424 495,991 991,982 1,983,964 3,967,928

Collatz Trajectory (185 steps to reach 1)

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

3,967,928 1,983,964 991,982 495,991 1,487,974 743,987 2,231,962 1,115,981 3,347,944 1,673,972 836,986 418,493 1,255,480 627,740 313,870 156,935 470,806 235,403 706,210 353,105 1,059,316 529,658 264,829 794,488 397,244 198,622 99,311 297,934 148,967 446,902 223,451 670,354 335,177 1,005,532 502,766 251,383 754,150 377,075 1,131,226 565,613 1,696,840 848,420 424,210 212,105 636,316 318,158 159,079 477,238 238,619 715,858 357,929 1,073,788 536,894 268,447 805,342 402,671 1,208,014 604,007 1,812,022 906,011

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