λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,071,880
10,071,880
23 × 5 × 7 × 13 × 2767
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 13 × 2767
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 27,901,440
Proper Divisor Sum 17,829,560
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #10071857 ← → #10071889

Radix Representation

Decimal 10071880
Binary 100110011010111101001000 (24 bits)
Octal 0o46327510
Hexadecimal 0x99AF48

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1,820 2,767 3,640 5,534 11,068 13,835 19,369 22,136 27,670 35,971 38,738 55,340 71,942 77,476 96,845 110,680 143,884 154,952 179,855 193,690 251,797 287,768 359,710 387,380 503,594 719,420 774,760 1,007,188 1,258,985 1,438,840

Collatz Trajectory (207 steps to reach 1)

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

10,071,880 5,035,940 2,517,970 1,258,985 3,776,956 1,888,478 944,239 2,832,718 1,416,359 4,249,078 2,124,539 6,373,618 3,186,809 9,560,428 4,780,214 2,390,107 7,170,322 3,585,161 10,755,484 5,377,742 2,688,871 8,066,614 4,033,307 12,099,922 6,049,961 18,149,884 9,074,942 4,537,471 13,612,414 6,806,207 20,418,622 10,209,311 30,627,934 15,313,967 45,941,902 22,970,951 68,912,854 34,456,427 103,369,282 51,684,641 155,053,924 77,526,962 38,763,481 116,290,444 58,145,222 29,072,611 87,217,834 43,608,917 130,826,752 65,413,376 32,706,688 16,353,344 8,176,672 4,088,336 2,044,168 1,022,084 511,042 255,521 766,564 383,282

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #10,071,879 Browse Full Index Next Integer #10,071,881 →