λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,652,193
7,652,193
3 × 17 × 19 × 53 × 149
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 17 × 19 × 53 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,664,000
Proper Divisor Sum 4,011,807
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7652191 ← → #7652207

Radix Representation

Decimal 7652193
Binary 11101001100001101100001 (23 bits)
Octal 0o35141541
Hexadecimal 0x74C361

Divisor Catalog (32)

1 3 17 19 51 53 57 149 159 323 447 901 969 1,007 2,533 2,703 2,831 3,021 7,599 7,897 8,493 17,119 23,691 48,127 51,357 134,249 144,381 150,043 402,747 450,129 2,550,731 7,652,193

Collatz Trajectory (204 steps to reach 1)

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

7,652,193 22,956,580 11,478,290 5,739,145 17,217,436 8,608,718 4,304,359 12,913,078 6,456,539 19,369,618 9,684,809 29,054,428 14,527,214 7,263,607 21,790,822 10,895,411 32,686,234 16,343,117 49,029,352 24,514,676 12,257,338 6,128,669 18,386,008 9,193,004 4,596,502 2,298,251 6,894,754 3,447,377 10,342,132 5,171,066 2,585,533 7,756,600 3,878,300 1,939,150 969,575 2,908,726 1,454,363 4,363,090 2,181,545 6,544,636 3,272,318 1,636,159 4,908,478 2,454,239 7,362,718 3,681,359 11,044,078 5,522,039 16,566,118 8,283,059 24,849,178 12,424,589 37,273,768 18,636,884 9,318,442 4,659,221 13,977,664 6,988,832 3,494,416 1,747,208

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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