λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,698,513
10,698,513
3 × 73 × 37 × 281
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^3 × 37 × 281
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,145,600
Proper Divisor Sum 6,447,087
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #10698511 ← → #10698547

Radix Representation

Decimal 10698513
Binary 101000110011111100010001 (24 bits)
Octal 0o50637421
Hexadecimal 0xA33F11

Divisor Catalog (32)

1 3 7 21 37 49 111 147 259 281 343 777 843 1,029 1,813 1,967 5,439 5,901 10,397 12,691 13,769 31,191 38,073 41,307 72,779 96,383 218,337 289,149 509,453 1,528,359 3,566,171 10,698,513

Collatz Trajectory (282 steps to reach 1)

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

10,698,513 32,095,540 16,047,770 8,023,885 24,071,656 12,035,828 6,017,914 3,008,957 9,026,872 4,513,436 2,256,718 1,128,359 3,385,078 1,692,539 5,077,618 2,538,809 7,616,428 3,808,214 1,904,107 5,712,322 2,856,161 8,568,484 4,284,242 2,142,121 6,426,364 3,213,182 1,606,591 4,819,774 2,409,887 7,229,662 3,614,831 10,844,494 5,422,247 16,266,742 8,133,371 24,400,114 12,200,057 36,600,172 18,300,086 9,150,043 27,450,130 13,725,065 41,175,196 20,587,598 10,293,799 30,881,398 15,440,699 46,322,098 23,161,049 69,483,148 34,741,574 17,370,787 52,112,362 26,056,181 78,168,544 39,084,272 19,542,136 9,771,068 4,885,534 2,442,767

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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