1,007,397

3⁴ × 12437

1,007,397 factors as 3^4 × 12437. Its 10 positive divisors give a proper-divisor sum of 497,601, so this integer is deficient. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 3^4 × 12437

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 1,504,998

Proper Divisor Sum 497,601

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1007387 ← → #1007401

Radix Representation

Decimal	1007397
Binary	11110101111100100101 (20 bits)
Octal	0o3657445
Hexadecimal	0xF5F25

Divisor Catalog (10)

1 3 9 27 81 12,437 37,311 111,933 335,799 1,007,397

Collatz Trajectory (196 steps to reach 1)

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

1,007,397 3,022,192 1,511,096 755,548 377,774 188,887 566,662 283,331 849,994 424,997 1,274,992 637,496 318,748 159,374 79,687 239,062 119,531 358,594 179,297 537,892 268,946 134,473 403,420 201,710 100,855 302,566 151,283 453,850 226,925 680,776 340,388 170,194 85,097 255,292 127,646 63,823 191,470 95,735 287,206 143,603 430,810 215,405 646,216 323,108 161,554 80,777 242,332 121,166 60,583 181,750 90,875 272,626 136,313 408,940 204,470 102,235 306,706 153,353 460,060 230,030

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