λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,496,835

1,496,835

32 × 5 × 29 × 31 × 37
Deficient Odd Composite

1,496,835 factors as 3^2 × 5 × 29 × 31 × 37. Its 48 positive divisors give a proper-divisor sum of 1,348,605, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 29 × 31 × 37
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,845,440
Proper Divisor Sum 1,348,605
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1496827 ← → #1496837

Radix Representation

Decimal 1496835
Binary 101101101011100000011 (21 bits)
Octal 0o5553403
Hexadecimal 0x16D703

Divisor Catalog (48)

1 3 5 9 15 29 31 37 45 87 93 111 145 155 185 261 279 333 435 465 555 899 1,073 1,147 1,305 1,395 1,665 2,697 3,219 3,441 4,495 5,365 5,735 8,091 9,657 10,323 13,485 16,095 17,205 33,263 40,455 48,285 51,615 99,789 166,315 299,367 498,945 1,496,835

Collatz Trajectory (111 steps to reach 1)

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

1,496,835 4,490,506 2,245,253 6,735,760 3,367,880 1,683,940 841,970 420,985 1,262,956 631,478 315,739 947,218 473,609 1,420,828 710,414 355,207 1,065,622 532,811 1,598,434 799,217 2,397,652 1,198,826 599,413 1,798,240 899,120 449,560 224,780 112,390 56,195 168,586 84,293 252,880 126,440 63,220 31,610 15,805 47,416 23,708 11,854 5,927 17,782 8,891 26,674 13,337 40,012 20,006 10,003 30,010 15,005 45,016 22,508 11,254 5,627 16,882 8,441 25,324 12,662 6,331 18,994 9,497

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #1,496,834 Browse Full Index Next Integer #1,496,836 →