λ
Ratio Atlas
Atlas › Integer Profiles › Node 73,516,004
73,516,004
22 × 23 × 31 × 149 × 173
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 23 × 31 × 149 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 140,313,600
Proper Divisor Sum 66,797,596
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #73515991 ← → #73516013

Radix Representation

Decimal 73516004
Binary 100011000011100001111100100 (27 bits)
Octal 0o430341744
Hexadecimal 0x461C3E4

Divisor Catalog (48)

1 2 4 23 31 46 62 92 124 149 173 298 346 596 692 713 1,426 2,852 3,427 3,979 4,619 5,363 6,854 7,958 9,238 10,726 13,708 15,916 18,476 21,452 25,777 51,554 103,108 106,237 123,349 212,474 246,698 424,948 493,396 592,871 799,087 1,185,742 1,598,174 2,371,484 3,196,348 18,379,001 36,758,002 73,516,004

Collatz Trajectory (166 steps to reach 1)

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

73,516,004 36,758,002 18,379,001 55,137,004 27,568,502 13,784,251 41,352,754 20,676,377 62,029,132 31,014,566 15,507,283 46,521,850 23,260,925 69,782,776 34,891,388 17,445,694 8,722,847 26,168,542 13,084,271 39,252,814 19,626,407 58,879,222 29,439,611 88,318,834 44,159,417 132,478,252 66,239,126 33,119,563 99,358,690 49,679,345 149,038,036 74,519,018 37,259,509 111,778,528 55,889,264 27,944,632 13,972,316 6,986,158 3,493,079 10,479,238 5,239,619 15,718,858 7,859,429 23,578,288 11,789,144 5,894,572 2,947,286 1,473,643 4,420,930 2,210,465 6,631,396 3,315,698 1,657,849 4,973,548 2,486,774 1,243,387 3,730,162 1,865,081 5,595,244 2,797,622

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #73,516,003 Browse Full Index Next Integer #73,516,005 →