λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,920,152
48,920,152
23 × 17 × 353 × 1019
Deficient Even Composite

Prime Factor Structure

Factorization String 2^3 × 17 × 353 × 1019
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 97,491,600
Proper Divisor Sum 48,571,448
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #48920141 ← → #48920153

Radix Representation

Decimal 48920152
Binary 10111010100111011001011000 (26 bits)
Octal 0o272473130
Hexadecimal 0x2EA7658

Divisor Catalog (32)

1 2 4 8 17 34 68 136 353 706 1,019 1,412 2,038 2,824 4,076 6,001 8,152 12,002 17,323 24,004 34,646 48,008 69,292 138,584 359,707 719,414 1,438,828 2,877,656 6,115,019 12,230,038 24,460,076 48,920,152

Collatz Trajectory (230 steps to reach 1)

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

48,920,152 24,460,076 12,230,038 6,115,019 18,345,058 9,172,529 27,517,588 13,758,794 6,879,397 20,638,192 10,319,096 5,159,548 2,579,774 1,289,887 3,869,662 1,934,831 5,804,494 2,902,247 8,706,742 4,353,371 13,060,114 6,530,057 19,590,172 9,795,086 4,897,543 14,692,630 7,346,315 22,038,946 11,019,473 33,058,420 16,529,210 8,264,605 24,793,816 12,396,908 6,198,454 3,099,227 9,297,682 4,648,841 13,946,524 6,973,262 3,486,631 10,459,894 5,229,947 15,689,842 7,844,921 23,534,764 11,767,382 5,883,691 17,651,074 8,825,537 26,476,612 13,238,306 6,619,153 19,857,460 9,928,730 4,964,365 14,893,096 7,446,548 3,723,274 1,861,637

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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