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Atlas › Integer Profiles › Node 42,904,564

42,904,564

22 × 59 × 137 × 1327
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 59 × 137 × 1327
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 76,970,880
Proper Divisor Sum 34,066,316
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #42904559 ← → #42904567

Radix Representation

Decimal 42904564
Binary 10100011101010101111110100 (26 bits)
Octal 0o243525764
Hexadecimal 0x28EABF4

Divisor Catalog (24)

1 2 4 59 118 137 236 274 548 1,327 2,654 5,308 8,083 16,166 32,332 78,293 156,586 181,799 313,172 363,598 727,196 10,726,141 21,452,282 42,904,564

Collatz Trajectory (160 steps to reach 1)

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

42,904,564 21,452,282 10,726,141 32,178,424 16,089,212 8,044,606 4,022,303 12,066,910 6,033,455 18,100,366 9,050,183 27,150,550 13,575,275 40,725,826 20,362,913 61,088,740 30,544,370 15,272,185 45,816,556 22,908,278 11,454,139 34,362,418 17,181,209 51,543,628 25,771,814 12,885,907 38,657,722 19,328,861 57,986,584 28,993,292 14,496,646 7,248,323 21,744,970 10,872,485 32,617,456 16,308,728 8,154,364 4,077,182 2,038,591 6,115,774 3,057,887 9,173,662 4,586,831 13,760,494 6,880,247 20,640,742 10,320,371 30,961,114 15,480,557 46,441,672 23,220,836 11,610,418 5,805,209 17,415,628 8,707,814 4,353,907 13,061,722 6,530,861 19,592,584 9,796,292

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