λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,436,715
7,436,715
3 × 5 × 11 × 13 × 3467
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 11 × 13 × 3467
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,982,976
Proper Divisor Sum 6,546,261
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7436713 ← → #7436719

Radix Representation

Decimal 7436715
Binary 11100010111100110101011 (23 bits)
Octal 0o34274653
Hexadecimal 0x7179AB

Divisor Catalog (32)

1 3 5 11 13 15 33 39 55 65 143 165 195 429 715 2,145 3,467 10,401 17,335 38,137 45,071 52,005 114,411 135,213 190,685 225,355 495,781 572,055 676,065 1,487,343 2,478,905 7,436,715

Collatz Trajectory (142 steps to reach 1)

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

7,436,715 22,310,146 11,155,073 33,465,220 16,732,610 8,366,305 25,098,916 12,549,458 6,274,729 18,824,188 9,412,094 4,706,047 14,118,142 7,059,071 21,177,214 10,588,607 31,765,822 15,882,911 47,648,734 23,824,367 71,473,102 35,736,551 107,209,654 53,604,827 160,814,482 80,407,241 241,221,724 120,610,862 60,305,431 180,916,294 90,458,147 271,374,442 135,687,221 407,061,664 203,530,832 101,765,416 50,882,708 25,441,354 12,720,677 38,162,032 19,081,016 9,540,508 4,770,254 2,385,127 7,155,382 3,577,691 10,733,074 5,366,537 16,099,612 8,049,806 4,024,903 12,074,710 6,037,355 18,112,066 9,056,033 27,168,100 13,584,050 6,792,025 20,376,076 10,188,038

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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