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Atlas › Integer Profiles › Node 1,453,595

1,453,595

5 × 11 × 13 × 19 × 107
Deficient Odd Composite

1,453,595 factors as 5 × 11 × 13 × 19 × 107. Its 32 positive divisors give a proper-divisor sum of 723,685, so this integer is deficient. The Collatz stopping time is 274 steps.

Prime Factor Structure

Factorization String 5 × 11 × 13 × 19 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,177,280
Proper Divisor Sum 723,685
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1453553 ← → #1453597

Radix Representation

Decimal 1453595
Binary 101100010111000011011 (21 bits)
Octal 0o5427033
Hexadecimal 0x162E1B

Divisor Catalog (32)

1 5 11 13 19 55 65 95 107 143 209 247 535 715 1,045 1,177 1,235 1,391 2,033 2,717 5,885 6,955 10,165 13,585 15,301 22,363 26,429 76,505 111,815 132,145 290,719 1,453,595

Collatz Trajectory (274 steps to reach 1)

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

1,453,595 4,360,786 2,180,393 6,541,180 3,270,590 1,635,295 4,905,886 2,452,943 7,358,830 3,679,415 11,038,246 5,519,123 16,557,370 8,278,685 24,836,056 12,418,028 6,209,014 3,104,507 9,313,522 4,656,761 13,970,284 6,985,142 3,492,571 10,477,714 5,238,857 15,716,572 7,858,286 3,929,143 11,787,430 5,893,715 17,681,146 8,840,573 26,521,720 13,260,860 6,630,430 3,315,215 9,945,646 4,972,823 14,918,470 7,459,235 22,377,706 11,188,853 33,566,560 16,783,280 8,391,640 4,195,820 2,097,910 1,048,955 3,146,866 1,573,433 4,720,300 2,360,150 1,180,075 3,540,226 1,770,113 5,310,340 2,655,170 1,327,585 3,982,756 1,991,378

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