λ
Harmonic Matrix

1,177,576

23 × 147197
Deficient Even Composite

1,177,576 has digital root 7. The neighboring primes are 1177571 and 1177609; its proper-divisor sum differs from the starting integer by -147,182.

Prime Factor Structure

Factorization String 2^3 × 147197
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,207,970
Proper Divisor Sum 1,030,394
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #1177571 ← → #1177609

Radix Representation

Decimal 1177576
Binary 100011111011111101000 (21 bits)
Octal 0o4373750
Hexadecimal 0x11F7E8

Divisor Catalog (8)

1 2 4 8 147,197 294,394 588,788 1,177,576

Collatz Trajectory (147 steps to reach 1)

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

1,177,576 588,788 294,394 147,197 441,592 220,796 110,398 55,199 165,598 82,799 248,398 124,199 372,598 186,299 558,898 279,449 838,348 419,174 209,587 628,762 314,381 943,144 471,572 235,786 117,893 353,680 176,840 88,420 44,210 22,105 66,316 33,158 16,579 49,738 24,869 74,608 37,304 18,652 9,326 4,663 13,990 6,995 20,986 10,493 31,480 15,740 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472

More profiles

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