λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,153,200
2,153,200
24 × 52 × 7 × 769
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^2 × 7 × 769
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 5,919,760
Proper Divisor Sum 3,766,560
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #2153171 ← → #2153201

Radix Representation

Decimal 2153200
Binary 1000001101101011110000 (22 bits)
Octal 0o10155360
Hexadecimal 0x20DAF0

Divisor Catalog (60)

1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 769 1,400 1,538 2,800 3,076 3,845 5,383 6,152 7,690 10,766 12,304 15,380 19,225 21,532 26,915 30,760 38,450 43,064 53,830 61,520 76,900 86,128 107,660 134,575 153,800 215,320 269,150 307,600 430,640 538,300 1,076,600 2,153,200

Collatz Trajectory (241 steps to reach 1)

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

2,153,200 1,076,600 538,300 269,150 134,575 403,726 201,863 605,590 302,795 908,386 454,193 1,362,580 681,290 340,645 1,021,936 510,968 255,484 127,742 63,871 191,614 95,807 287,422 143,711 431,134 215,567 646,702 323,351 970,054 485,027 1,455,082 727,541 2,182,624 1,091,312 545,656 272,828 136,414 68,207 204,622 102,311 306,934 153,467 460,402 230,201 690,604 345,302 172,651 517,954 258,977 776,932 388,466 194,233 582,700 291,350 145,675 437,026 218,513 655,540 327,770 163,885 491,656

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #2,153,199 Browse Full Index Next Integer #2,153,201 →