λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,000,152
10,000,152
23 × 33 × 67 × 691
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^3 × 67 × 691
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 28,233,600
Proper Divisor Sum 18,233,448
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #10000141 ← → #10000169

Radix Representation

Decimal 10000152
Binary 100110001001011100011000 (24 bits)
Octal 0o46113430
Hexadecimal 0x989718

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 268 402 536 603 691 804 1,206 1,382 1,608 1,809 2,073 2,412 2,764 3,618 4,146 4,824 5,528 6,219 7,236 8,292 12,438 14,472 16,584 18,657 24,876 37,314 46,297 49,752 74,628 92,594 138,891 149,256 185,188 277,782 370,376 416,673 555,564 833,346 1,111,128 1,250,019 1,666,692

Collatz Trajectory (145 steps to reach 1)

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

10,000,152 5,000,076 2,500,038 1,250,019 3,750,058 1,875,029 5,625,088 2,812,544 1,406,272 703,136 351,568 175,784 87,892 43,946 21,973 65,920 32,960 16,480 8,240 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310

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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