λ
Harmonic Matrix

7,124,703

3 × 181 × 13121
Deficient Odd Composite

7,124,703 has digital root 6. The neighboring primes are 7124701 and 7124707; its proper-divisor sum differs from the starting integer by -4,696,590.

Prime Factor Structure

Factorization String 3 × 181 × 13121
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,552,816
Proper Divisor Sum 2,428,113
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7124701 ← → #7124707

Radix Representation

Decimal 7124703
Binary 11011001011011011011111 (23 bits)
Octal 0o33133337
Hexadecimal 0x6CB6DF

Divisor Catalog (8)

1 3 181 543 13,121 39,363 2,374,901 7,124,703

Collatz Trajectory (98 steps to reach 1)

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

7,124,703 21,374,110 10,687,055 32,061,166 16,030,583 48,091,750 24,045,875 72,137,626 36,068,813 108,206,440 54,103,220 27,051,610 13,525,805 40,577,416 20,288,708 10,144,354 5,072,177 15,216,532 7,608,266 3,804,133 11,412,400 5,706,200 2,853,100 1,426,550 713,275 2,139,826 1,069,913 3,209,740 1,604,870 802,435 2,407,306 1,203,653 3,610,960 1,805,480 902,740 451,370 225,685 677,056 338,528 169,264 84,632 42,316 21,158 10,579 31,738 15,869 47,608 23,804 11,902 5,951 17,854 8,927 26,782 13,391 40,174 20,087 60,262 30,131 90,394 45,197

More profiles

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