7,024,647

3 × 7 × 334507

Starting at 7,024,647, the Collatz iteration reaches 1 after 152 steps. The first transition is 21073942; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 334507

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,704,256

Proper Divisor Sum 3,679,609

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7024627 ← → #7024691

Radix Representation

Decimal	7024647
Binary	11010110011000000000111 (23 bits)
Octal	0o32630007
Hexadecimal	0x6B3007

Divisor Catalog (8)

1 3 7 21 334,507 1,003,521 2,341,549 7,024,647

Collatz Trajectory (152 steps to reach 1)

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

7,024,647 21,073,942 10,536,971 31,610,914 15,805,457 47,416,372 23,708,186 11,854,093 35,562,280 17,781,140 8,890,570 4,445,285 13,335,856 6,667,928 3,333,964 1,666,982 833,491 2,500,474 1,250,237 3,750,712 1,875,356 937,678 468,839 1,406,518 703,259 2,109,778 1,054,889 3,164,668 1,582,334 791,167 2,373,502 1,186,751 3,560,254 1,780,127 5,340,382 2,670,191 8,010,574 4,005,287 12,015,862 6,007,931 18,023,794 9,011,897 27,035,692 13,517,846 6,758,923 20,276,770 10,138,385 30,415,156 15,207,578 7,603,789 22,811,368 11,405,684 5,702,842 2,851,421 8,554,264 4,277,132 2,138,566 1,069,283 3,207,850 1,603,925

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