3,837,708

2² × 3² × 7 × 97 × 157

Starting at 3,837,708, the Collatz iteration reaches 1 after 71 steps. The first transition is 1918854; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 97 × 157

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 11,272,352

Proper Divisor Sum 7,434,644

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3837703 ← → #3837721

Radix Representation

Decimal	3837708
Binary	1110101000111100001100 (22 bits)
Octal	0o16507414
Hexadecimal	0x3A8F0C

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 97 126 157 194 252 291 314 388 471 582 628 679 873 942 1,099 1,164 1,358 1,413 1,746 1,884 2,037 2,198 2,716 2,826 3,297 3,492 4,074 4,396 5,652 6,111 6,594 8,148 9,891 12,222 13,188 15,229 19,782 24,444 30,458 39,564 45,687 60,916 91,374 106,603

Collatz Trajectory (71 steps to reach 1)

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

3,837,708 1,918,854 959,427 2,878,282 1,439,141 4,317,424 2,158,712 1,079,356 539,678 269,839 809,518 404,759 1,214,278 607,139 1,821,418 910,709 2,732,128 1,366,064 683,032 341,516 170,758 85,379 256,138 128,069 384,208 192,104 96,052 48,026 24,013 72,040 36,020 18,010 9,005 27,016 13,508 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113

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