7,364,072

2³ × 920509

7,364,072 factors as 2^3 × 920509. Its 8 positive divisors give a proper-divisor sum of 6,443,578, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^3 × 920509

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,807,650

Proper Divisor Sum 6,443,578

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7364069 ← → #7364083

Radix Representation

Decimal	7364072
Binary	11100000101110111101000 (23 bits)
Octal	0o34056750
Hexadecimal	0x705DE8

Divisor Catalog (8)

1 2 4 8 920,509 1,841,018 3,682,036 7,364,072

Collatz Trajectory (142 steps to reach 1)

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

7,364,072 3,682,036 1,841,018 920,509 2,761,528 1,380,764 690,382 345,191 1,035,574 517,787 1,553,362 776,681 2,330,044 1,165,022 582,511 1,747,534 873,767 2,621,302 1,310,651 3,931,954 1,965,977 5,897,932 2,948,966 1,474,483 4,423,450 2,211,725 6,635,176 3,317,588 1,658,794 829,397 2,488,192 1,244,096 622,048 311,024 155,512 77,756 38,878 19,439 58,318 29,159 87,478 43,739 131,218 65,609 196,828 98,414 49,207 147,622 73,811 221,434 110,717 332,152 166,076 83,038 41,519 124,558 62,279 186,838 93,419 280,258

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