λ
Ratio Atlas

1,523,595

3 × 5 × 101573
Deficient Odd Composite

1,523,595 factors as 3 × 5 × 101573. Its 8 positive divisors give a proper-divisor sum of 914,181, so this integer is deficient. The Collatz stopping time is 256 steps.

Prime Factor Structure

Factorization String 3 × 5 × 101573
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,437,776
Proper Divisor Sum 914,181
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1523581 ← → #1523603

Radix Representation

Decimal 1523595
Binary 101110011111110001011 (21 bits)
Octal 0o5637613
Hexadecimal 0x173F8B

Divisor Catalog (8)

1 3 5 15 101,573 304,719 507,865 1,523,595

Collatz Trajectory (256 steps to reach 1)

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

1,523,595 4,570,786 2,285,393 6,856,180 3,428,090 1,714,045 5,142,136 2,571,068 1,285,534 642,767 1,928,302 964,151 2,892,454 1,446,227 4,338,682 2,169,341 6,508,024 3,254,012 1,627,006 813,503 2,440,510 1,220,255 3,660,766 1,830,383 5,491,150 2,745,575 8,236,726 4,118,363 12,355,090 6,177,545 18,532,636 9,266,318 4,633,159 13,899,478 6,949,739 20,849,218 10,424,609 31,273,828 15,636,914 7,818,457 23,455,372 11,727,686 5,863,843 17,591,530 8,795,765 26,387,296 13,193,648 6,596,824 3,298,412 1,649,206 824,603 2,473,810 1,236,905 3,710,716 1,855,358 927,679 2,783,038 1,391,519 4,174,558 2,087,279

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