7,446,730

2 × 5 × 73 × 101²

7,446,730 factors as 2 × 5 × 73 × 101^2. Its 24 positive divisors give a proper-divisor sum of 6,276,866, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2 × 5 × 73 × 101^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,723,596

Proper Divisor Sum 6,276,866

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7446709 ← → #7446739

Radix Representation

Decimal	7446730
Binary	11100011010000011001010 (23 bits)
Octal	0o34320312
Hexadecimal	0x71A0CA

Divisor Catalog (24)

1 2 5 10 73 101 146 202 365 505 730 1,010 7,373 10,201 14,746 20,402 36,865 51,005 73,730 102,010 744,673 1,489,346 3,723,365 7,446,730

Collatz Trajectory (85 steps to reach 1)

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

7,446,730 3,723,365 11,170,096 5,585,048 2,792,524 1,396,262 698,131 2,094,394 1,047,197 3,141,592 1,570,796 785,398 392,699 1,178,098 589,049 1,767,148 883,574 441,787 1,325,362 662,681 1,988,044 994,022 497,011 1,491,034 745,517 2,236,552 1,118,276 559,138 279,569 838,708 419,354 209,677 629,032 314,516 157,258 78,629 235,888 117,944 58,972 29,486 14,743 44,230 22,115 66,346 33,173 99,520 49,760 24,880 12,440 6,220 3,110 1,555 4,666 2,333 7,000 3,500 1,750 875 2,626 1,313

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