4,735,762

2 × 43 × 53 × 1039

Starting at 4,735,762, the Collatz iteration reaches 1 after 149 steps. The first transition is 2367881; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 43 × 53 × 1039

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,413,120

Proper Divisor Sum 2,677,358

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4735751 ← → #4735793

Radix Representation

Decimal	4735762
Binary	10010000100001100010010 (23 bits)
Octal	0o22041422
Hexadecimal	0x484312

Divisor Catalog (16)

1 2 43 53 86 106 1,039 2,078 2,279 4,558 44,677 55,067 89,354 110,134 2,367,881 4,735,762

Collatz Trajectory (149 steps to reach 1)

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

4,735,762 2,367,881 7,103,644 3,551,822 1,775,911 5,327,734 2,663,867 7,991,602 3,995,801 11,987,404 5,993,702 2,996,851 8,990,554 4,495,277 13,485,832 6,742,916 3,371,458 1,685,729 5,057,188 2,528,594 1,264,297 3,792,892 1,896,446 948,223 2,844,670 1,422,335 4,267,006 2,133,503 6,400,510 3,200,255 9,600,766 4,800,383 14,401,150 7,200,575 21,601,726 10,800,863 32,402,590 16,201,295 48,603,886 24,301,943 72,905,830 36,452,915 109,358,746 54,679,373 164,038,120 82,019,060 41,009,530 20,504,765 61,514,296 30,757,148 15,378,574 7,689,287 23,067,862 11,533,931 34,601,794 17,300,897 51,902,692 25,951,346 12,975,673 38,927,020

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