1,516,128

2⁵ × 3 × 17 × 929

Starting at 1,516,128, the Collatz iteration reaches 1 after 88 steps. The first transition is 758064; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 17 × 929

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 4,218,480

Proper Divisor Sum 2,702,352

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1516127 ← → #1516129

Radix Representation

Decimal	1516128
Binary	101110010001001100000 (21 bits)
Octal	0o5621140
Hexadecimal	0x172260

Divisor Catalog (48)

1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 929 1,632 1,858 2,787 3,716 5,574 7,432 11,148 14,864 15,793 22,296 29,728 31,586 44,592 47,379 63,172 89,184 94,758 126,344 189,516 252,688 379,032 505,376 758,064 1,516,128

Collatz Trajectory (88 steps to reach 1)

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

1,516,128 758,064 379,032 189,516 94,758 47,379 142,138 71,069 213,208 106,604 53,302 26,651 79,954 39,977 119,932 59,966 29,983 89,950 44,975 134,926 67,463 202,390 101,195 303,586 151,793 455,380 227,690 113,845 341,536 170,768 85,384 42,692 21,346 10,673 32,020 16,010 8,005 24,016 12,008 6,004 3,002 1,501 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269

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