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Atlas › Integer Profiles › Node 1,736,475

1,736,475

3 × 52 × 132 × 137
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 13^2 × 137
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 3,131,496
Proper Divisor Sum 1,395,021
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1736461 ← → #1736519

Radix Representation

Decimal 1736475
Binary 110100111111100011011 (21 bits)
Octal 0o6477433
Hexadecimal 0x1A7F1B

Divisor Catalog (36)

1 3 5 13 15 25 39 65 75 137 169 195 325 411 507 685 845 975 1,781 2,055 2,535 3,425 4,225 5,343 8,905 10,275 12,675 23,153 26,715 44,525 69,459 115,765 133,575 347,295 578,825 1,736,475

Collatz Trajectory (264 steps to reach 1)

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

1,736,475 5,209,426 2,604,713 7,814,140 3,907,070 1,953,535 5,860,606 2,930,303 8,790,910 4,395,455 13,186,366 6,593,183 19,779,550 9,889,775 29,669,326 14,834,663 44,503,990 22,251,995 66,755,986 33,377,993 100,133,980 50,066,990 25,033,495 75,100,486 37,550,243 112,650,730 56,325,365 168,976,096 84,488,048 42,244,024 21,122,012 10,561,006 5,280,503 15,841,510 7,920,755 23,762,266 11,881,133 35,643,400 17,821,700 8,910,850 4,455,425 13,366,276 6,683,138 3,341,569 10,024,708 5,012,354 2,506,177 7,518,532 3,759,266 1,879,633 5,638,900 2,819,450 1,409,725 4,229,176 2,114,588 1,057,294 528,647 1,585,942 792,971 2,378,914

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