1,325,751

3 × 7 × 63131

Starting at 1,325,751, the Collatz iteration reaches 1 after 168 steps. The first transition is 3977254; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 63131

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,020,224

Proper Divisor Sum 694,473

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1325707 ← → #1325761

Radix Representation

Decimal	1325751
Binary	101000011101010110111 (21 bits)
Octal	0o5035267
Hexadecimal	0x143AB7

Divisor Catalog (8)

1 3 7 21 63,131 189,393 441,917 1,325,751

Collatz Trajectory (168 steps to reach 1)

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

1,325,751 3,977,254 1,988,627 5,965,882 2,982,941 8,948,824 4,474,412 2,237,206 1,118,603 3,355,810 1,677,905 5,033,716 2,516,858 1,258,429 3,775,288 1,887,644 943,822 471,911 1,415,734 707,867 2,123,602 1,061,801 3,185,404 1,592,702 796,351 2,389,054 1,194,527 3,583,582 1,791,791 5,375,374 2,687,687 8,063,062 4,031,531 12,094,594 6,047,297 18,141,892 9,070,946 4,535,473 13,606,420 6,803,210 3,401,605 10,204,816 5,102,408 2,551,204 1,275,602 637,801 1,913,404 956,702 478,351 1,435,054 717,527 2,152,582 1,076,291 3,228,874 1,614,437 4,843,312 2,421,656 1,210,828 605,414 302,707

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