λ
Ratio Atlas
Atlas › Integer Profiles › Node 65,736,624
65,736,624
24 × 3 × 421 × 3253
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 421 × 3253
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 170,275,312
Proper Divisor Sum 104,538,688
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #65736623 ← → #65736641

Radix Representation

Decimal 65736624
Binary 11111010110000111110110000 (26 bits)
Octal 0o372607660
Hexadecimal 0x3EB0FB0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 421 842 1,263 1,684 2,526 3,253 3,368 5,052 6,506 6,736 9,759 10,104 13,012 19,518 20,208 26,024 39,036 52,048 78,072 156,144 1,369,513 2,739,026 4,108,539 5,478,052 8,217,078 10,956,104 16,434,156 21,912,208 32,868,312 65,736,624

Collatz Trajectory (233 steps to reach 1)

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

65,736,624 32,868,312 16,434,156 8,217,078 4,108,539 12,325,618 6,162,809 18,488,428 9,244,214 4,622,107 13,866,322 6,933,161 20,799,484 10,399,742 5,199,871 15,599,614 7,799,807 23,399,422 11,699,711 35,099,134 17,549,567 52,648,702 26,324,351 78,973,054 39,486,527 118,459,582 59,229,791 177,689,374 88,844,687 266,534,062 133,267,031 399,801,094 199,900,547 599,701,642 299,850,821 899,552,464 449,776,232 224,888,116 112,444,058 56,222,029 168,666,088 84,333,044 42,166,522 21,083,261 63,249,784 31,624,892 15,812,446 7,906,223 23,718,670 11,859,335 35,578,006 17,789,003 53,367,010 26,683,505 80,050,516 40,025,258 20,012,629 60,037,888 30,018,944 15,009,472

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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