7,311,335

5 × 29 × 50423

Starting at 7,311,335, the Collatz iteration reaches 1 after 147 steps. The first transition is 21934006; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 29 × 50423

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,076,320

Proper Divisor Sum 1,764,985

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7311329 ← → #7311341

Radix Representation

Decimal	7311335
Binary	11011111000111111100111 (23 bits)
Octal	0o33707747
Hexadecimal	0x6F8FE7

Divisor Catalog (8)

1 5 29 145 50,423 252,115 1,462,267 7,311,335

Collatz Trajectory (147 steps to reach 1)

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

7,311,335 21,934,006 10,967,003 32,901,010 16,450,505 49,351,516 24,675,758 12,337,879 37,013,638 18,506,819 55,520,458 27,760,229 83,280,688 41,640,344 20,820,172 10,410,086 5,205,043 15,615,130 7,807,565 23,422,696 11,711,348 5,855,674 2,927,837 8,783,512 4,391,756 2,195,878 1,097,939 3,293,818 1,646,909 4,940,728 2,470,364 1,235,182 617,591 1,852,774 926,387 2,779,162 1,389,581 4,168,744 2,084,372 1,042,186 521,093 1,563,280 781,640 390,820 195,410 97,705 293,116 146,558 73,279 219,838 109,919 329,758 164,879 494,638 247,319 741,958 370,979 1,112,938 556,469 1,669,408

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