7,779,007

107 × 72701

7,779,007 factors as 107 × 72701. Its 4 positive divisors give a proper-divisor sum of 72,809, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 107 × 72701

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,851,816

Proper Divisor Sum 72,809

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7778983 ← → #7779019

Radix Representation

Decimal	7779007
Binary	11101101011001010111111 (23 bits)
Octal	0o35531277
Hexadecimal	0x76B2BF

Divisor Catalog (4)

1 107 72,701 7,779,007

Collatz Trajectory (178 steps to reach 1)

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

7,779,007 23,337,022 11,668,511 35,005,534 17,502,767 52,508,302 26,254,151 78,762,454 39,381,227 118,143,682 59,071,841 177,215,524 88,607,762 44,303,881 132,911,644 66,455,822 33,227,911 99,683,734 49,841,867 149,525,602 74,762,801 224,288,404 112,144,202 56,072,101 168,216,304 84,108,152 42,054,076 21,027,038 10,513,519 31,540,558 15,770,279 47,310,838 23,655,419 70,966,258 35,483,129 106,449,388 53,224,694 26,612,347 79,837,042 39,918,521 119,755,564 59,877,782 29,938,891 89,816,674 44,908,337 134,725,012 67,362,506 33,681,253 101,043,760 50,521,880 25,260,940 12,630,470 6,315,235 18,945,706 9,472,853 28,418,560 14,209,280 7,104,640 3,552,320 1,776,160

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