1,007,741

7 × 19 × 7577

For 1,007,741, the 8 positive divisors have a total of 1,212,480. Removing 1,007,741 leaves 204,739, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 19 × 7577

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,212,480

Proper Divisor Sum 204,739

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #1007731 ← → #1007749

Radix Representation

Decimal	1007741
Binary	11110110000001111101 (20 bits)
Octal	0o3660175
Hexadecimal	0xF607D

Divisor Catalog (8)

1 7 19 133 7,577 53,039 143,963 1,007,741

Collatz Trajectory (134 steps to reach 1)

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

1,007,741 3,023,224 1,511,612 755,806 377,903 1,133,710 566,855 1,700,566 850,283 2,550,850 1,275,425 3,826,276 1,913,138 956,569 2,869,708 1,434,854 717,427 2,152,282 1,076,141 3,228,424 1,614,212 807,106 403,553 1,210,660 605,330 302,665 907,996 453,998 226,999 680,998 340,499 1,021,498 510,749 1,532,248 766,124 383,062 191,531 574,594 287,297 861,892 430,946 215,473 646,420 323,210 161,605 484,816 242,408 121,204 60,602 30,301 90,904 45,452 22,726 11,363 34,090 17,045 51,136 25,568 12,784 6,392

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