7,815,056

2⁴ × 488441

Starting at 7,815,056, the Collatz iteration reaches 1 after 155 steps. The first transition is 3907528; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 488441

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 15,141,702

Proper Divisor Sum 7,326,646

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7815047 ← → #7815091

Radix Representation

Decimal	7815056
Binary	11101110011111110010000 (23 bits)
Octal	0o35637620
Hexadecimal	0x773F90

Divisor Catalog (10)

1 2 4 8 16 488,441 976,882 1,953,764 3,907,528 7,815,056

Collatz Trajectory (155 steps to reach 1)

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

7,815,056 3,907,528 1,953,764 976,882 488,441 1,465,324 732,662 366,331 1,098,994 549,497 1,648,492 824,246 412,123 1,236,370 618,185 1,854,556 927,278 463,639 1,390,918 695,459 2,086,378 1,043,189 3,129,568 1,564,784 782,392 391,196 195,598 97,799 293,398 146,699 440,098 220,049 660,148 330,074 165,037 495,112 247,556 123,778 61,889 185,668 92,834 46,417 139,252 69,626 34,813 104,440 52,220 26,110 13,055 39,166 19,583 58,750 29,375 88,126 44,063 132,190 66,095 198,286 99,143 297,430

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