λ
Ratio Atlas
Atlas › Integer Profiles › Node 76,848,992
76,848,992
25 × 11 × 233 × 937
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 11 × 233 × 937
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 165,935,952
Proper Divisor Sum 89,086,960
Digit Sum / Digital Root 53 (Root: 8)
Adjacent Primes #76848983 ← → #76849007

Radix Representation

Decimal 76848992
Binary 100100101001001111101100000 (27 bits)
Octal 0o445117540
Hexadecimal 0x4949F60

Divisor Catalog (48)

1 2 4 8 11 16 22 32 44 88 176 233 352 466 932 937 1,864 1,874 2,563 3,728 3,748 5,126 7,456 7,496 10,252 10,307 14,992 20,504 20,614 29,984 41,008 41,228 82,016 82,456 164,912 218,321 329,824 436,642 873,284 1,746,568 2,401,531 3,493,136 4,803,062 6,986,272 9,606,124 19,212,248 38,424,496 76,848,992

Collatz Trajectory (241 steps to reach 1)

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

76,848,992 38,424,496 19,212,248 9,606,124 4,803,062 2,401,531 7,204,594 3,602,297 10,806,892 5,403,446 2,701,723 8,105,170 4,052,585 12,157,756 6,078,878 3,039,439 9,118,318 4,559,159 13,677,478 6,838,739 20,516,218 10,258,109 30,774,328 15,387,164 7,693,582 3,846,791 11,540,374 5,770,187 17,310,562 8,655,281 25,965,844 12,982,922 6,491,461 19,474,384 9,737,192 4,868,596 2,434,298 1,217,149 3,651,448 1,825,724 912,862 456,431 1,369,294 684,647 2,053,942 1,026,971 3,080,914 1,540,457 4,621,372 2,310,686 1,155,343 3,466,030 1,733,015 5,199,046 2,599,523 7,798,570 3,899,285 11,697,856 5,848,928 2,924,464

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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