1,787,150

2 × 5² × 31 × 1153

1,787,150 factors as 2 × 5^2 × 31 × 1153. Its 24 positive divisors give a proper-divisor sum of 1,647,154, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 31 × 1153

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,434,304

Proper Divisor Sum 1,647,154

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #1787143 ← → #1787161

Radix Representation

Decimal	1787150
Binary	110110100010100001110 (21 bits)
Octal	0o6642416
Hexadecimal	0x1B450E

Divisor Catalog (24)

1 2 5 10 25 31 50 62 155 310 775 1,153 1,550 2,306 5,765 11,530 28,825 35,743 57,650 71,486 178,715 357,430 893,575 1,787,150

Collatz Trajectory (189 steps to reach 1)

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

1,787,150 893,575 2,680,726 1,340,363 4,021,090 2,010,545 6,031,636 3,015,818 1,507,909 4,523,728 2,261,864 1,130,932 565,466 282,733 848,200 424,100 212,050 106,025 318,076 159,038 79,519 238,558 119,279 357,838 178,919 536,758 268,379 805,138 402,569 1,207,708 603,854 301,927 905,782 452,891 1,358,674 679,337 2,038,012 1,019,006 509,503 1,528,510 764,255 2,292,766 1,146,383 3,439,150 1,719,575 5,158,726 2,579,363 7,738,090 3,869,045 11,607,136 5,803,568 2,901,784 1,450,892 725,446 362,723 1,088,170 544,085 1,632,256 816,128 408,064

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