λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,976,145
7,976,145
3 × 5 × 17 × 31 × 1009
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 17 × 31 × 1009
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,962,240
Proper Divisor Sum 5,986,095
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7976141 ← → #7976153

Radix Representation

Decimal 7976145
Binary 11110011011010011010001 (23 bits)
Octal 0o36332321
Hexadecimal 0x79B4D1

Divisor Catalog (32)

1 3 5 15 17 31 51 85 93 155 255 465 527 1,009 1,581 2,635 3,027 5,045 7,905 15,135 17,153 31,279 51,459 85,765 93,837 156,395 257,295 469,185 531,743 1,595,229 2,658,715 7,976,145

Collatz Trajectory (248 steps to reach 1)

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

7,976,145 23,928,436 11,964,218 5,982,109 17,946,328 8,973,164 4,486,582 2,243,291 6,729,874 3,364,937 10,094,812 5,047,406 2,523,703 7,571,110 3,785,555 11,356,666 5,678,333 17,035,000 8,517,500 4,258,750 2,129,375 6,388,126 3,194,063 9,582,190 4,791,095 14,373,286 7,186,643 21,559,930 10,779,965 32,339,896 16,169,948 8,084,974 4,042,487 12,127,462 6,063,731 18,191,194 9,095,597 27,286,792 13,643,396 6,821,698 3,410,849 10,232,548 5,116,274 2,558,137 7,674,412 3,837,206 1,918,603 5,755,810 2,877,905 8,633,716 4,316,858 2,158,429 6,475,288 3,237,644 1,618,822 809,411 2,428,234 1,214,117 3,642,352 1,821,176

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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