1,007,695

5 × 13 × 37 × 419

1,007,695 factors as 5 × 13 × 37 × 419. Its 16 positive divisors give a proper-divisor sum of 332,945, so this integer is deficient. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 5 × 13 × 37 × 419

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,340,640

Proper Divisor Sum 332,945

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1007693 ← → #1007701

Radix Representation

Decimal	1007695
Binary	11110110000001001111 (20 bits)
Octal	0o3660117
Hexadecimal	0xF604F

Divisor Catalog (16)

1 5 13 37 65 185 419 481 2,095 2,405 5,447 15,503 27,235 77,515 201,539 1,007,695

Collatz Trajectory (90 steps to reach 1)

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

1,007,695 3,023,086 1,511,543 4,534,630 2,267,315 6,801,946 3,400,973 10,202,920 5,101,460 2,550,730 1,275,365 3,826,096 1,913,048 956,524 478,262 239,131 717,394 358,697 1,076,092 538,046 269,023 807,070 403,535 1,210,606 605,303 1,815,910 907,955 2,723,866 1,361,933 4,085,800 2,042,900 1,021,450 510,725 1,532,176 766,088 383,044 191,522 95,761 287,284 143,642 71,821 215,464 107,732 53,866 26,933 80,800 40,400 20,200 10,100 5,050 2,525 7,576 3,788 1,894 947 2,842 1,421 4,264 2,132 1,066

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