1,007,916

2² × 3 × 7 × 13² × 71

Starting at 1,007,916, the Collatz iteration reaches 1 after 152 steps. The first transition is 503958; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 13^2 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 2,951,424

Proper Divisor Sum 1,943,508

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1007891 ← → #1007921

Radix Representation

Decimal	1007916
Binary	11110110000100101100 (20 bits)
Octal	0o3660454
Hexadecimal	0xF612C

Divisor Catalog (60 of 72)

1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 71 78 84 91 142 156 169 182 213 273 284 338 364 426 497 507 546 676 852 923 994 1,014 1,092 1,183 1,491 1,846 1,988 2,028 2,366 2,769 2,982 3,549 3,692 4,732 5,538 5,964 6,461 7,098 11,076 11,999 12,922 14,196 19,383 23,998 25,844

Collatz Trajectory (152 steps to reach 1)

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

1,007,916 503,958 251,979 755,938 377,969 1,133,908 566,954 283,477 850,432 425,216 212,608 106,304 53,152 26,576 13,288 6,644 3,322 1,661 4,984 2,492 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182

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