λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,929,974

7,929,974

2 × 13 × 41 × 43 × 173
Deficient Even Composite

7,929,974 factors as 2 × 13 × 41 × 43 × 173. Its 32 positive divisors give a proper-divisor sum of 5,575,210, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2 × 13 × 41 × 43 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,505,184
Proper Divisor Sum 5,575,210
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #7929953 ← → #7929979

Radix Representation

Decimal 7929974
Binary 11110010000000001110110 (23 bits)
Octal 0o36200166
Hexadecimal 0x790076

Divisor Catalog (32)

1 2 13 26 41 43 82 86 173 346 533 559 1,066 1,118 1,763 2,249 3,526 4,498 7,093 7,439 14,186 14,878 22,919 45,838 92,209 96,707 184,418 193,414 304,999 609,998 3,964,987 7,929,974

Collatz Trajectory (217 steps to reach 1)

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

7,929,974 3,964,987 11,894,962 5,947,481 17,842,444 8,921,222 4,460,611 13,381,834 6,690,917 20,072,752 10,036,376 5,018,188 2,509,094 1,254,547 3,763,642 1,881,821 5,645,464 2,822,732 1,411,366 705,683 2,117,050 1,058,525 3,175,576 1,587,788 793,894 396,947 1,190,842 595,421 1,786,264 893,132 446,566 223,283 669,850 334,925 1,004,776 502,388 251,194 125,597 376,792 188,396 94,198 47,099 141,298 70,649 211,948 105,974 52,987 158,962 79,481 238,444 119,222 59,611 178,834 89,417 268,252 134,126 67,063 201,190 100,595 301,786

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,929,973 Browse Full Index Next Integer #7,929,975 →