1,257,652

2² × 11 × 101 × 283

Starting at 1,257,652, the Collatz iteration reaches 1 after 80 steps. The first transition is 628826; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 101 × 283

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,433,312

Proper Divisor Sum 1,175,660

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1257647 ← → #1257653

Radix Representation

Decimal	1257652
Binary	100110011000010110100 (21 bits)
Octal	0o4630264
Hexadecimal	0x1330B4

Divisor Catalog (24)

1 2 4 11 22 44 101 202 283 404 566 1,111 1,132 2,222 3,113 4,444 6,226 12,452 28,583 57,166 114,332 314,413 628,826 1,257,652

Collatz Trajectory (80 steps to reach 1)

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

1,257,652 628,826 314,413 943,240 471,620 235,810 117,905 353,716 176,858 88,429 265,288 132,644 66,322 33,161 99,484 49,742 24,871 74,614 37,307 111,922 55,961 167,884 83,942 41,971 125,914 62,957 188,872 94,436 47,218 23,609 70,828 35,414 17,707 53,122 26,561 79,684 39,842 19,921 59,764 29,882 14,941 44,824 22,412 11,206 5,603 16,810 8,405 25,216 12,608 6,304 3,152 1,576 788 394 197 592 296 148 74 37

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