1,728,742

2 × 907 × 953

Starting at 1,728,742, the Collatz iteration reaches 1 after 83 steps. The first transition is 864371; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 907 × 953

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,598,696

Proper Divisor Sum 869,954

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #1728739 ← → #1728761

Radix Representation

Decimal	1728742
Binary	110100110000011100110 (21 bits)
Octal	0o6460346
Hexadecimal	0x1A60E6

Divisor Catalog (8)

1 2 907 953 1,814 1,906 864,371 1,728,742

Collatz Trajectory (83 steps to reach 1)

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

1,728,742 864,371 2,593,114 1,296,557 3,889,672 1,944,836 972,418 486,209 1,458,628 729,314 364,657 1,093,972 546,986 273,493 820,480 410,240 205,120 102,560 51,280 25,640 12,820 6,410 3,205 9,616 4,808 2,404 1,202 601 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308

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