λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,078,876

10,078,876

22 × 23 × 71 × 1543
Deficient Even Composite

10,078,876 factors as 2^2 × 23 × 71 × 1543. Its 24 positive divisors give a proper-divisor sum of 8,597,348, so this integer is deficient. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 71 × 1543
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,676,224
Proper Divisor Sum 8,597,348
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #10078867 ← → #10078883

Radix Representation

Decimal 10078876
Binary 100110011100101010011100 (24 bits)
Octal 0o46345234
Hexadecimal 0x99CA9C

Divisor Catalog (24)

1 2 4 23 46 71 92 142 284 1,543 1,633 3,086 3,266 6,172 6,532 35,489 70,978 109,553 141,956 219,106 438,212 2,519,719 5,039,438 10,078,876

Collatz Trajectory (251 steps to reach 1)

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

10,078,876 5,039,438 2,519,719 7,559,158 3,779,579 11,338,738 5,669,369 17,008,108 8,504,054 4,252,027 12,756,082 6,378,041 19,134,124 9,567,062 4,783,531 14,350,594 7,175,297 21,525,892 10,762,946 5,381,473 16,144,420 8,072,210 4,036,105 12,108,316 6,054,158 3,027,079 9,081,238 4,540,619 13,621,858 6,810,929 20,432,788 10,216,394 5,108,197 15,324,592 7,662,296 3,831,148 1,915,574 957,787 2,873,362 1,436,681 4,310,044 2,155,022 1,077,511 3,232,534 1,616,267 4,848,802 2,424,401 7,273,204 3,636,602 1,818,301 5,454,904 2,727,452 1,363,726 681,863 2,045,590 1,022,795 3,068,386 1,534,193 4,602,580 2,301,290

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #10,078,875 Browse Full Index Next Integer #10,078,877 →