1,972,088

2³ × 246511

1,972,088 factors as 2^3 × 246511. Its 8 positive divisors give a proper-divisor sum of 1,725,592, so this integer is deficient. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2^3 × 246511

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,697,680

Proper Divisor Sum 1,725,592

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #1972079 ← → #1972093

Radix Representation

Decimal	1972088
Binary	111100001011101111000 (21 bits)
Octal	0o7413570
Hexadecimal	0x1E1778

Divisor Catalog (8)

1 2 4 8 246,511 493,022 986,044 1,972,088

Collatz Trajectory (215 steps to reach 1)

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

1,972,088 986,044 493,022 246,511 739,534 369,767 1,109,302 554,651 1,663,954 831,977 2,495,932 1,247,966 623,983 1,871,950 935,975 2,807,926 1,403,963 4,211,890 2,105,945 6,317,836 3,158,918 1,579,459 4,738,378 2,369,189 7,107,568 3,553,784 1,776,892 888,446 444,223 1,332,670 666,335 1,999,006 999,503 2,998,510 1,499,255 4,497,766 2,248,883 6,746,650 3,373,325 10,119,976 5,059,988 2,529,994 1,264,997 3,794,992 1,897,496 948,748 474,374 237,187 711,562 355,781 1,067,344 533,672 266,836 133,418 66,709 200,128 100,064 50,032 25,016 12,508

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