7,427,650

2 × 5² × 149 × 997

7,427,650 factors as 2 × 5^2 × 149 × 997. Its 24 positive divisors give a proper-divisor sum of 6,494,450, so this integer is deficient. The Collatz stopping time is 297 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 149 × 997

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,922,100

Proper Divisor Sum 6,494,450

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7427617 ← → #7427663

Radix Representation

Decimal	7427650
Binary	11100010101011001000010 (23 bits)
Octal	0o34253102
Hexadecimal	0x715642

Divisor Catalog (24)

1 2 5 10 25 50 149 298 745 997 1,490 1,994 3,725 4,985 7,450 9,970 24,925 49,850 148,553 297,106 742,765 1,485,530 3,713,825 7,427,650

Collatz Trajectory (297 steps to reach 1)

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

7,427,650 3,713,825 11,141,476 5,570,738 2,785,369 8,356,108 4,178,054 2,089,027 6,267,082 3,133,541 9,400,624 4,700,312 2,350,156 1,175,078 587,539 1,762,618 881,309 2,643,928 1,321,964 660,982 330,491 991,474 495,737 1,487,212 743,606 371,803 1,115,410 557,705 1,673,116 836,558 418,279 1,254,838 627,419 1,882,258 941,129 2,823,388 1,411,694 705,847 2,117,542 1,058,771 3,176,314 1,588,157 4,764,472 2,382,236 1,191,118 595,559 1,786,678 893,339 2,680,018 1,340,009 4,020,028 2,010,014 1,005,007 3,015,022 1,507,511 4,522,534 2,261,267 6,783,802 3,391,901 10,175,704

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