71,384,692

2² × 31 × 37 × 15559

71,384,692 factors as 2^2 × 31 × 37 × 15559. Its 24 positive divisors give a proper-divisor sum of 61,062,028, so this integer is deficient. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2^2 × 31 × 37 × 15559

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 132,446,720

Proper Divisor Sum 61,062,028

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #71384657 ← → #71384711

Radix Representation

Decimal	71384692
Binary	100010000010011111001110100 (27 bits)
Octal	0o420237164
Hexadecimal	0x4413E74

Divisor Catalog (24)

Collatz Trajectory (96 steps to reach 1)

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

71,384,692 35,692,346 17,846,173 53,538,520 26,769,260 13,384,630 6,692,315 20,076,946 10,038,473 30,115,420 15,057,710 7,528,855 22,586,566 11,293,283 33,879,850 16,939,925 50,819,776 25,409,888 12,704,944 6,352,472 3,176,236 1,588,118 794,059 2,382,178 1,191,089 3,573,268 1,786,634 893,317 2,679,952 1,339,976 669,988 334,994 167,497 502,492 251,246 125,623 376,870 188,435 565,306 282,653 847,960 423,980 211,990 105,995 317,986 158,993 476,980 238,490 119,245 357,736 178,868 89,434 44,717 134,152 67,076 33,538 16,769 50,308 25,154 12,577

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